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21 Aschieri, Paolo Noncommutative Spacetimes I06049 2009 eBook  
22 Robinson, Matthew Symmetry and the Standard Model I06030 2011 eBook  
23 Ali, Syed Twareque Coherent States, Wavelets, and Their Generalizations I05732 2014 eBook  
24 Beiglb??ck, W Group Theoretical Methods in Physics I05322 1979 eBook  
25 Bertrand, J Modern Group Theoretical Methods in Physics I05013 1995 eBook  
26 Araki, Huzihiro Quantum and Non-Commutative Analysis I04479 1993 eBook  
27 Hartley, B Finite and Locally Finite Groups I04323 1995 eBook  
28 Tanner, Elizabeth A Noncompact Lie Groups and Some of Their Applications I04271 1994 eBook  
29 Cahen, M Quantum Theories and Geometry I04155 1988 eBook  
30 Klimyk, Anatoli Quantum Groups and Their Representations I03720 1997 eBook  
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21.    
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TitleNoncommutative Spacetimes : Symmetries in Noncommutative Geometry and Field Theory
Author(s)Aschieri, Paolo;Dimitrijevic, Marija;Kulish, Petr;Lizzi, Fedele;Wess, Julius
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionXIV, 199 p. 10 illus : online resource
Abstract NoteThere are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field
ISBN,Price9783540897934
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. Mathematical Methods in Physics 6. PHYSICS 7. QUANTUM PHYSICS
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22.     
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TitleSymmetry and the Standard Model : Mathematics and Particle Physics
Author(s)Robinson, Matthew
PublicationNew York, NY, Springer New York, 2011.
DescriptionXIX, 327 p : online resource
Abstract NoteWhile elementary particle physics is an extraordinarily fascinating field, the huge amount of knowledge necessary to perform cutting-edge research poses a formidable challenge for students. The leap from the material contained in the standard graduate course sequence to the frontiers of M-theory, for example, is tremendous. To make substantial contributions to the field, students must first confront a long reading list of texts on quantum field theory, general??relativity, gauge theory, particle interactions, conformal field theory, and string theory. Moreover, waves of new mathematics are required at each stage, spanning a broad set of topics including algebra, geometry, topology, and analysis. Symmetry and the Standard Model: Mathematics and Particle Physics, by Matthew Robinson, is the first volume of a series intended to teach math in a way that is catered to physicists. Following a brief review of classical physics at the undergraduate level and a preview of particle physics from an experimentalist's perspective, the text systematically lays the mathematical groundwork for an algebraic understanding of the Standard Model of Particle Physics. It then concludes with an overview of the extensions of the previous ideas to physics beyond the Standard Model. The text is geared toward advanced undergraduate students and first-year graduate students
ISBN,Price9781441982674
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. GROUP THEORY 6. Group Theory and Generalizations 7. LIE GROUPS 8. NUCLEAR PHYSICS 9. Particle and Nuclear Physics 10. QUANTUM FIELD THEORY 11. TOPOLOGICAL GROUPS 12. Topological Groups, Lie Groups
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23.     
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TitleCoherent States, Wavelets, and Their Generalizations
Author(s)Ali, Syed Twareque;Antoine, Jean-Pierre;Gazeau, Jean-Pierre
PublicationNew York, NY, Springer New York, 2014.
DescriptionXVIII, 577 p. 31 illus., 8 illus. in color : online resource
Abstract NoteThis second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics. ?? Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, Gazeau-Klauder coherent states,??coherent states for??the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential??applications, from the quantum physically oriented,??like??the quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. ?? Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self-contained. With its extensive references to the research literature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable
ISBN,Price9781461485353
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. QUANTUM COMPUTERS 6. Quantum Information Technology, Spintronics 7. QUANTUM PHYSICS 8. SPINTRONICS
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I05732     On Shelf    

24.     
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TitleGroup Theoretical Methods in Physics : Seventh International Colloquium and Integrative Conference on Group Theory and Mathematical Physics, Held in Austin, Texas, September 11???16, 1978
Author(s)Beiglb??ck, W;B??hm, A;Takasugi, E
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1979.
DescriptionXIII, 547 p. 13 illus : online resource
ISBN,Price9783540353454
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS
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25.     
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TitleModern Group Theoretical Methods in Physics : Proceedings of the Conference in Honour of Guy Rideau
Author(s)Bertrand, J;Flato, M;Gazeau, J.-P;Irac-Astaud, M;Sternheimer, Daniel
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXX, 318 p : online resource
Abstract NoteThis book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Universit?? Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformation-quantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to up-to-date applications such as imaging and neuronal models. Audience: Researchers in mathematical physics
ISBN,Price9789401585439
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GROUP THEORY 8. Group Theory and Generalizations 9. MATHEMATICAL PHYSICS 10. QUANTUM FIELD THEORY 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. Theoretical, Mathematical and Computational Physics
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26.     
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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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27.     
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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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28.     
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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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29.     
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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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I04155     On Shelf    

30.    
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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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I03720     On Shelf    

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