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21 Carter, R.W Algebraic Groups and their Representations I02777 1998 eBook  
22 Doebner, Heinz-Dietrich Group Theoretical Methods in Physics I02270 1988 eBook  
23 Broer, A Representation Theories and Algebraic Geometry I01480 1998 eBook  
24 Adam M. Bincer Lie groups and lie algebras OB1076 eBook  
25 Paul Renteln Maniforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists 025392 2014 Book  
26 L. V. Ovsyannikov Lectures on the theory of group properties of differential equations 025025 2013 Book  
27 Ken J. Barnes Group theory for the standard model of particle physics and beyond 024065 2010 Book  
28 Fecko Marian Differential geometry and lie groups for physicists 023801 2001 Book  
29 William Fulton Representation theory: A first course 023053 2008 Book  
30 Brian J. Cantwell Introduction to symmetry analysis C20207 2002 Book  
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21.    
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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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I02777     On Shelf    

22.     
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TitleGroup Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987
Author(s)Doebner, Heinz-Dietrich;Hennig, J??rg D;Palev, Tchavdar D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionXI, 599 p : online resource
Abstract NoteThe aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students
ISBN,Price9783540459590
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. Mathematical Methods in Physics 5. Numerical and Computational Physics, Simulation 6. PHYSICS 7. QUANTUM COMPUTERS 8. Quantum Information Technology, Spintronics 9. QUANTUM PHYSICS 10. SPINTRONICS 11. TOPOLOGICAL GROUPS 12. Topological Groups, Lie Groups
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I02270     On Shelf    

23.     
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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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I01480     On Shelf    

24.     
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TitleLie groups and lie algebras : a physicist's perspective
Author(s)Adam M. Bincer
PublicationOxford, 1. c2013 2. Oxford University Press,
Description1 online resource
Abstract NoteThis text gives an introduction to group theory for physicists with a focus on lie groups and lie algebras
NotesIncludes bibliographical references and index
ISBN,Price9780191745492 (ebook)
Keyword(s)1. EBOOK 2. EBOOK - OXFORD UNIVERSITY PRESS 3. LIE ALGEBRAS 4. LIE GROUPS
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OB1076     On Shelf    

25.     
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TitleManiforlds, tensors, and forms: An Intruduction for Mathematicians and Physicists
Author(s)Paul Renteln
PublicationCambridge, Cambridge University Press, 2014.
Descriptionxii, 329p.
Abstract NoteProviding a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory.
ISBN,Price9781107042193 : UKP 45.00(PB)
Classification512.6:514.7
Keyword(s)1. COHOMOLOGY 2. DEGREE THEORY 3. LIE GROUPS 4. MANIFOLDS 5. MULTILINEAR ALGEBRA 6. RIEMANNIAN GEOMETRY 7. TENSORS 8. VECTOR BUNDLES
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025392   512.6:514.7/REN/025392  On Shelf    

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26.     
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TitleLectures on the theory of group properties of differential equations
Author(s)L. V. Ovsyannikov;Nail H. Ibragimov (ed.);E. D. Avdonina (tr.)
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2013.
Descriptionxi, 141p.
Abstract NoteThese lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
ISBN,Price9789814460811 : US $38.00(HB)
Classification517.9
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. LIE ALGEBRAS 3. LIE GROUPS
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025025   517.9/IBR/025025  On Shelf    

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27.     
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TitleGroup theory for the standard model of particle physics and beyond
Author(s)Ken J. Barnes
PublicationBoca Raton, CRC Press, 2010.
Descriptionxiii, 241p.
Series(Series in High Energy Physics, Cosmology and Gravitation)
Abstract NoteBased on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.
ISBN,Price9781420078749 : UKP 38.99(HB)
Classification539.12:512.54
Keyword(s)1. EBOOK 2. EBOOK - TAYLOR AND FRANCIS 3. GOLDSTONE THEOREM 4. GROUP THEORY 5. HIGGS MECHANISM 6. LIE GROUPS 7. NOETHER THEOREM 8. PARTICLE PHYSICS 9. QUANTUM THEORY
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024065   539.12:512.54/BAR/024065  On Shelf    
OB1351   539.12:512.54/BAR/  On Shelf    

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28.     
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TitleDifferential geometry and lie groups for physicists
Author(s)Fecko Marian
PublicationCambridge, Cambridge University Press, 2001.
Descriptionxv, 697p.
Abstract NoteThis textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
ISBN,Price9780511755590 : UKP 38.00(PB)
Classification514.747:53
Keyword(s)1. DIFFERENTIAL FORMS 2. DIFFERENTIAL GEOMETRY 3. LIE GROUPS 4. MANIFOLDS 5. SPINORS 6. SYMPLECTIC GEOMETRY 7. TENSOR FIELDS
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29.     
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TitleRepresentation theory: A first course
Author(s)William Fulton;Joe Harris
PublicationNew York, Springer, 2008.
Descriptionxv, 551p.
Series(Graduate Text in Mathematics)
Abstract NoteThese lectures is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie Groups; in particular, the symmetric groups are treated in some detail. The focus then turns to Lie groups and Lie Algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory.
ISBN,Price9780387974958 : EUR 39.95(PB)
Classification512.547
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE ALGEBRA 4. LIE GROUPS 5. REPRESENTATION OF GROUPS 6. REPRESENTATIONS OF ALGEBRAS
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023053   512.547/FUL/023053  On Shelf    
I12137   512.547/FUL/  On Shelf    

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30.    
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TitleIntroduction to symmetry analysis
Author(s)Brian J. Cantwell
PublicationCambridge, Cambridge University Press, 2002.
Descriptionxli, 612p.
ISBN,Price0521777402 : SP 37.00
ClassificationCONTACT LIBRARY STAFF
Keyword(s)1. CD-ROM 2. CLASSICAL DYNAMICS 3. DIFFERENTIAL EQUATIONS 4. DIMENSIONAL ANALYSIS 5. LAMINAR BOUNDARY LAYERS 6. LIE GROUPS 7. LIE-BACKLUND TRANSFORMATIONS 8. PARTIAL DIFFERENTIAL EQUATIONS 9. SYMMETRY (PHYSICS)
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C20207   /BRI/C20207  On Shelf    

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