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31 Cahen, M Quantum Theories and Geometry I04155 1988 eBook  
32 Klimyk, Anatoli Quantum Groups and Their Representations I03720 1997 eBook  
33 Noz, M Special Relativity and Quantum Theory I03344 1988 eBook  
34 Barut, P Group Theory in Non-Linear Problems I03154 1974 eBook  
35 Carter, R.W Algebraic Groups and their Representations I02777 1998 eBook  
36 Gruber, C Group Analysis of Classical Lattice Systems I02595 1977 eBook  
37 Kim, Young Suh Theory and Applications of the Poincar?? Group I02543 1986 eBook  
38 Hahn, Gena Graph Symmetry I02352 1997 eBook  
39 Barlotti, A Generators and Relations in Groups and Geometries I02261 1991 eBook  
40 Broer, A Representation Theories and Algebraic Geometry I01480 1998 eBook  
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31.    
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TitleQuantum Theories and Geometry
Author(s)Cahen, M;Flato, M
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionIX, 191 p : online resource
ISBN,Price9789400930551
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GEOMETRY 4. GROUP THEORY 5. Group Theory and Generalizations 6. MATHEMATICAL PHYSICS 7. Theoretical, Mathematical and Computational Physics
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32.     
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TitleQuantum Groups and Their Representations
Author(s)Klimyk, Anatoli;Schm??dgen, Konrad
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXX, 552 p : online resource
Abstract NoteThis book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed
ISBN,Price9783642608964
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. Mathematical Methods in Physics 6. PHYSICS
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33.     
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TitleSpecial Relativity and Quantum Theory : A Collection of Papers on the Poincar?? Group
Author(s)Noz, M;Kim, Young Suh
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionXIII, 505 p : online resource
Abstract NoteSpecial relativity and quantum mechanics are likely to remain the two most important languages in physics for many years to come. The underlying language for both disciplines is group theory. Eugene P. Wigner's 1939 paper on the Unitary Representations of the Inhomogeneous Lorentz Group laid the foundation for unifying the concepts and algorithms of quantum mechanics and special relativity. In view of the strong current interest in the space-time symmetries of elementary particles, it is safe to say that Wigner's 1939 paper was fifty years ahead of its time. This edited volume consists of Wigner's 1939 paper and the major papers on the Lorentz group published since 1939. . This volume is intended for graduate and advanced undergraduate students in physics and mathematics, as well as mature physicists wishing to understand the more fundamental aspects of physics than are available from the fashion-oriented theoretical models which come and go. The original papers contained in this volume are useful as supplementary reading material for students in courses on group theory, relativistic quantum mechanics and quantum field theory, relativistic electrodynamics, general relativity, and elementary particle physics. This reprint collection is an extension of the textbook by the present editors entitled "Theory and Applications of the Poincare Group." Since this book is largely based on the articles contained herein, the present volume should be viewed as a reading for the previous work. continuation of and supplementary We would like to thank Professors J. Bjorken, R. Feynman, R. Hofstadter, J
ISBN,Price9789400930513
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. QUANTUM PHYSICS 7. Theoretical, Mathematical and Computational Physics
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34.     
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TitleGroup Theory in Non-Linear Problems : Lectures Presented at the NATO Advanced Study Institute on Mathematical Physics, held in Istanbul, Turkey, August 7???18, 1972
Author(s)Barut, P
PublicationDordrecht, Springer Netherlands, 1974.
DescriptionVII, 281 p : online resource
Abstract NoteThis is the second volume of a series of books in various aspects of Mathematical Physics. Mathematical Physics has made great strides in recent years, and is rapidly becoming an important dis?? cipline in its own right. The fact that physical ideas can help create new mathematical theories, and rigorous mathematical theo?? rems can help to push the limits of physical theories and solve problems is generally acknowledged. We believe that continuous con?? tacts between mathematicians and physicists and the resulting dialogue and the cross fertilization of ideas is a good thing. This series of studies is published with this goal in mind. The present volume contains contributions which were original?? ly presented at the Second NATO Advanced Study Institute on Mathe?? matical Physics held in Istanbul in the Summer of 1972. The main theme was the application of group theoretical methods in general relativity and in particle physics. Modern group theory, in par?? ticular, the theory of unitary irreducibl~ infinite-dimensional representations of Lie groups is being increasingly important in the formulation and solution of dynamical problems in various bran?? ches of physics. There is moreover a general trend of approchement of the methods of general relativity and elementary particle physics. We hope it will be useful to present these investigations to a larger audience
ISBN,Price9789401021449
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations
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35.     
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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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36.     
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TitleGroup Analysis of Classical Lattice Systems
Author(s)Gruber, C;Hintermann, A;Merlini, D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1977.
DescriptionXIV, 331 p : online resource
ISBN,Price9783540374077
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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37.     
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TitleTheory and Applications of the Poincar?? Group
Author(s)Kim, Young Suh;Noz, M
PublicationDordrecht, Springer Netherlands, 1986.
DescriptionXV, 331 p : online resource
Abstract NoteSpecial relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work
ISBN,Price9789400945586
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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38.     
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TitleGraph Symmetry : Algebraic Methods and Applications
Author(s)Hahn, Gena;Sabidussi, Gert
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXX, 418 p : online resource
Abstract NoteThe last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre?? quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect
ISBN,Price9789401589376
Keyword(s)1. COMBINATORICS 2. Computer Communication Networks 3. Computer communication systems 4. Computer science???Mathematics 5. DISCRETE MATHEMATICS 6. Discrete Mathematics in Computer Science 7. EBOOK 8. EBOOK - SPRINGER 9. GROUP THEORY 10. Group Theory and Generalizations 11. MICROPROCESSORS 12. Processor Architectures
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39.     
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TitleGenerators and Relations in Groups and Geometries
Author(s)Barlotti, A;Ellers, E.W;Plaumann, P;Strambach, K
PublicationDordrecht, Springer Netherlands, 1991.
DescriptionXV, 447 p : online resource
Abstract NoteEvery group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char?? acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance
ISBN,Price9789401133821
Keyword(s)1. ALGEBRA 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Field theory (Physics) 6. Field Theory and Polynomials 7. GROUP THEORY 8. Group Theory and Generalizations 9. Linear and Multilinear Algebras, Matrix Theory 10. MATRIX THEORY
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40.    
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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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