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: Niky Kamran
Publisher:
ISBN: 9780821851692
Category :
Languages : en
Pages : 310
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Book Description
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: Murray Gerstenhaber
Publisher: American Mathematical Soc.
ISBN: 0821851411
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and wave mechanics of Baxter and Yang. Those occurring physically can be studied as essentially algebraic and closely related to the deformation theory of algebras (commutative, Lie, Hopf, and so on). One of the oldest forms of algebraic quantization amounts to the study of deformations of a commutative algebra A (of classical observables) to a noncommutative algebra A*h (of operators) with the infinitesimal deformation given by a Poisson bracket on the original algebra A. This volume grew out of an AMS--IMS--SIAM Joint Summer Research Conference, held in June 1990 at the University of Massachusetts at Amherst. The conference brought together leading researchers in the several areas mentioned and in areas such as ``q special functions'', which have their origins in the last century but whose relevance to modern physics has only recently been understood. Among the advances taking place during the conference was Majid's reconstruction theorem for Drinfel$'$d's quasi-Hopf algebras. Readers will appreciate this snapshot of some of the latest developments in the mathematics of quantum groups and deformation theory.
Author: José Adolfo de Azcárraga
Publisher:
ISBN:
Category :
Languages : en
Pages : 455
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Book Description
Author: Yi-Zhi Huang
Publisher: American Mathematical Soc.
ISBN: 0821839861
Category : Mathematics
Languages : en
Pages : 500
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Book Description
The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.
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: Jürgen Fuchs
Publisher: Cambridge University Press
ISBN: 9780521484121
Category : Mathematics
Languages : en
Pages : 452
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Book Description
This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
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.
