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11 Araki, Huzihiro Quantum and Non-Commutative Analysis I04479 1993 eBook  
12 Hartley, B Finite and Locally Finite Groups I04323 1995 eBook  
13 Tanner, Elizabeth A Noncompact Lie Groups and Some of Their Applications I04271 1994 eBook  
14 Ibort, Alberto Integrable Systems, Quantum Groups, and Quantum Field Theories I03653 1993 eBook  
15 Dlab, V Finite Dimensional Algebras and Related Topics I02890 1994 eBook  
16 Carter, R.W Algebraic Groups and their Representations I02777 1998 eBook  
17 Goerss, P.G Algebraic K-Theory and Algebraic Topology I02299 1993 eBook  
18 Broer, A Representation Theories and Algebraic Geometry I01480 1998 eBook  
19 Van Oystaeyen, Freddy Perspectives in Ring Theory I01443 1988 eBook  
20 Dietrich, Volker Clifford Algebras and Their Application in Mathematical Physics I00380 1998 eBook  
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11.    
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TitleQuantum and Non-Commutative Analysis : Past, Present and Future Perspectives
Author(s)Araki, Huzihiro;Ito, Keiichi R;Kishimoto, Akitaka;Ojima, Izumi
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXII, 464 p : online resource
Abstract NoteIn the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap?? proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held
ISBN,Price9789401728232
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GROUP THEORY 8. Group Theory and Generalizations 9. QUANTUM FIELD THEORY 10. Rings (Algebra) 11. SPECIAL FUNCTIONS
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12.     
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TitleFinite and Locally Finite Groups
Author(s)Hartley, B;Seitz, G.M;Borovik, A.V;Bryant, R.M
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXII, 458 p : online resource
Abstract NoteThis volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni
ISBN,Price9789401103299
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. GROUP THEORY 6. Group Theory and Generalizations 7. Rings (Algebra)
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13.     
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TitleNoncompact Lie Groups and Some of Their Applications
Author(s)Tanner, Elizabeth A;Wilson, R
PublicationDordrecht, Springer Netherlands, 1994.
Description512 p : online resource
Abstract NoteDuring the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig?? nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy?? namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr
ISBN,Price9789401110785
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GLOBAL ANALYSIS (MATHEMATICS) 4. Global Analysis and Analysis on Manifolds 5. GROUP THEORY 6. Group Theory and Generalizations 7. LIE GROUPS 8. Manifolds (Mathematics) 9. MATHEMATICAL PHYSICS 10. Non-associative Rings and Algebras 11. Nonassociative rings 12. Rings (Algebra) 13. Theoretical, Mathematical and Computational Physics 14. TOPOLOGICAL GROUPS 15. Topological Groups, Lie Groups
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14.     
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TitleIntegrable Systems, Quantum Groups, and Quantum Field Theories
Author(s)Ibort, Alberto;Rodr??guez, M.A
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXI, 502 p : online resource
Abstract NoteIn many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects
ISBN,Price9789401119801
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. MATHEMATICAL PHYSICS 5. Non-associative Rings and Algebras 6. Nonassociative rings 7. PARTIAL DIFFERENTIAL EQUATIONS 8. Rings (Algebra) 9. Theoretical, Mathematical and Computational Physics 10. TOPOLOGICAL GROUPS 11. Topological Groups, Lie Groups
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15.     
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TitleFinite Dimensional Algebras and Related Topics
Author(s)Dlab, V;Scott, Leonard
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIV, 392 p : online resource
Abstract NoteBased on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance
ISBN,Price9789401715560
Keyword(s)1. ALGEBRA 2. COMMUTATIVE ALGEBRA 3. Commutative rings 4. Commutative Rings and Algebras 5. EBOOK 6. EBOOK - SPRINGER 7. Non-associative Rings and Algebras 8. Nonassociative rings 9. Rings (Algebra)
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16.     
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TitleAlgebraic Groups and their Representations
Author(s)Carter, R.W;Saxl, J
PublicationDordrecht, Springer Netherlands, 1998.
DescriptionXVIII, 374 p : online resource
Abstract NoteThis volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al?? gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet?? ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups
ISBN,Price9789401153089
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. LIE GROUPS 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Rings (Algebra) 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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17.     
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TitleAlgebraic K-Theory and Algebraic Topology
Author(s)Goerss, P.G;Jardine, John F
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXII, 328 p : online resource
Abstract NoteA NATO Advanced Study Institute entitled "Algebraic K-theory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991. This book is the volume of proceedings for this meeting. The papers that appear here are representative of most of the lectures that were given at the conference, and therefore present a "snapshot" of the state ofthe K-theoretic art at the end of 1991. The underlying objective of the meeting was to discuss recent work related to the Lichtenbaum-Quillen complex of conjectures, fro~ both the algebraic and topological points of view. The papers in this volume deal with a range of topics, including motivic cohomology theories, cyclic homology, intersection homology, higher class field theory, and the former telescope conjecture. This meeting was jointly funded by grants from NATO and the National Science Foun?? dation in the United States. I would like to take this opportunity to thank these agencies for their support. I would also like to thank the other members of the organizing com?? mittee, namely Paul Goerss, Bruno Kahn and Chuck Weibel, for their help in making the conference successful. This was the second NATO Advanced Study Institute to be held in this venue; the first was in 1987. The success of both conferences owes much to the professionalism and helpfulness of the administration and staff of Chateau Lake Louise
ISBN,Price9789401706957
Keyword(s)1. ALGEBRA 2. ALGEBRAIC GEOMETRY 3. ALGEBRAIC TOPOLOGY 4. Associative rings 5. Associative Rings and Algebras 6. EBOOK 7. EBOOK - SPRINGER 8. K-THEORY 9. Order, Lattices, Ordered Algebraic Structures 10. Ordered algebraic structures 11. Rings (Algebra)
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18.     
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TitleRepresentation Theories and Algebraic Geometry
Author(s)Broer, A
PublicationDordrecht, Springer Netherlands, 1998.
DescriptionXXII, 444 p : online resource
Abstract NoteThe 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules
ISBN,Price9789401591317
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. GROUP THEORY 5. Group Theory and Generalizations 6. LIE GROUPS 7. Non-associative Rings and Algebras 8. Nonassociative rings 9. Rings (Algebra) 10. TOPOLOGICAL GROUPS 11. Topological Groups, Lie Groups
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19.     
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TitlePerspectives in Ring Theory
Author(s)Van Oystaeyen, Freddy;Bruyn, Lieven le
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionXVI, 382 p : online resource
Abstract NoteThis proceedings is composed of the papers resulting from the NATO work-shop "Perspectives in Ring Theory" and the work-shop "Geometry and Invariant The?? ory of Representations of Quivers" . Three reports on problem sessions have been induced in the part corresponding to the work-shop where they belonged. One more report on a problem session, the "lost" problem session, will be published elsewhere eventually. vii Acknowledgement The meeting became possible by the financial support of the Scientific Affairs Division of NATO. The people at this division have been very helpful in the orga?? nization of the meeting, in particular we commemorate Dr. Mario di Lullo, who died unexpectedly last year, but who has been very helpful with the organization of earlier meetings in Ring Theory. For additional financial support we thank the national foundation for scientific research (NFWO), the rector of the University of Antwerp, UIA, and the Belgian Ministry of Education. We also gladly acknowledge support from the Belgian Friends of the Hebrew University and the chairman Prof. P. Van Remoortere who honored Prof. S. Amitsur for his continuous contributions to the mathematical activities at the University of Antwerp. I thank the authors who contributed their paper(s) to this proceedings and the lecturers for their undisposable contributions towards the success of the work-shop. Finally I thank Danielle for allowing me to spoil another holiday period in favor of a congress
ISBN,Price9789400929852
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Rings (Algebra)
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20.    
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TitleClifford Algebras and Their Application in Mathematical Physics : Aachen 1996
Author(s)Dietrich, Volker;Habetha, Klaus;Jank, Gerhard
PublicationDordrecht, Springer Netherlands, 1998.
DescriptionXXXII, 447 p : online resource
Abstract NoteClifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics
ISBN,Price9789401150361
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. INTEGRAL TRANSFORMS 8. Integral Transforms, Operational Calculus 9. MATHEMATICAL LOGIC 10. Mathematical Logic and Foundations 11. Operational calculus 12. PARTIAL DIFFERENTIAL EQUATIONS 13. Rings (Algebra)
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