Lie Algebras, Cohomology, and New Applications to Quantum Mechanics PDF Download
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Author: Niky Kamran
Publisher: American Mathematical Soc.
ISBN: 0821851691
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Author: Niky Kamran
Publisher: American Mathematical Soc.
ISBN: 0821851691
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Author: Josi A. de Azcárraga
Publisher: Cambridge University Press
ISBN: 9780521597005
Category : Mathematics
Languages : en
Pages : 480
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Book Description
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Author:
Publisher:
ISBN: 9780821851692
Category : Homology theory
Languages : en
Pages : 310
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Book Description
Author: Piergiulio Tempesta
Publisher: American Mathematical Soc.
ISBN: 0821833294
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Quantum Systems organized by the Centre de Recherches Mathematiques in Montreal (Quebec).
Author: Niky Kamran
Publisher: American Mathematical Soc.
ISBN: 9780821854945
Category : Mathematics
Languages : en
Pages : 330
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Book Description
This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Author: Nirmala Prakash
Publisher: Imperial College Press
ISBN: 9781860943652
Category : Science
Languages : en
Pages : 866
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Book Description
Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical, mathematical and quantum physics.
Author: Alejandro Adem
Publisher: American Mathematical Soc.
ISBN: 0821803050
Category : Mathematics
Languages : en
Pages : 250
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Book Description
This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in July 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: BL application of homotopy theory to group theory BL fiber bundle theory BL homotopy theory The expository papers consider the following topics: BL the Atiyah-Jones conjecture (by C. Boyer) BL classifying spaces of finite groups (by J. Martino) BL instanton moduli spaces (by J. Milgram) Homotopy Theory and Its Applications offers a distinctive account of how homotopy theoretic methods can be applied to a variety of interesting problems.
Author: Gary L. Mullen
Publisher: American Mathematical Soc.
ISBN: 0821851837
Category : Mathematics
Languages : en
Pages : 434
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Book Description
Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields. Also included is a list of open problems and conjectures. This volume is an excellent reference for applied and research mathematicians as well as specialists and graduate students in information theory, computer science, and electrical engineering.
Author: Paul J. Sally (Jr.)
Publisher: American Mathematical Soc.
ISBN: 0821851861
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex operator algebras or superalgebras and their representations. Another group deals with various aspects of quantum groups. Other topics covered include the theory of knots in three-manifolds, symplectic geometry, and tensor products. This book provides an excellent view of some of the latest developments in this growing field of research.
Author:
Publisher: American Mathematical Soc.
ISBN: 0821802976
Category : Mathematics
Languages : en
Pages : 458
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Book Description
`The most important single thing about this conference was that it brought together for the first time representatives of all major groups of users of hypergroups. [They] talked to each other about how they were using hypergroups in fields as diverse as special functions, probability theory, representation theory, measure algebras, Hopf algebras, and Hecke algebras. This led to fireworks.' - from the Introduction. Hypergroups occur in a wide variety of contexts, and mathematicians the world over have been discovering this same mathematical structure hidden in very different applications. The diverse viewpoints on the subject have led to the need for a common perspective, if not a common theory. Presenting the proceedings of a Joint Summer Research Conference held in Seattle in the summer of 1993, this book will serve as a valuable starting point and reference tool for the wide range of users of hypergroups and make it easier for an even larger audience to use these structures in their work.
