Affine Lie Algebras, Weight Multiplicities, and Branching Rules

Affine Lie Algebras, Weight Multiplicities, and Branching Rules PDF Author: Sam Kass
Publisher: Univ of California Press
ISBN: 9780520067684
Category : Science
Languages : en
Pages : 312

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Book Description
00 This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference. This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference.

Affine Lie Algebras, Weight Multiplicities, and Branching Rules

Affine Lie Algebras, Weight Multiplicities, and Branching Rules PDF Author: Sam Kass
Publisher: Univ of California Press
ISBN: 9780520067684
Category : Science
Languages : en
Pages : 312

Get Book Here

Book Description
00 This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference. This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference.

Affine Lie Algebras, Weight Multiplicities, and Branching Rules

Affine Lie Algebras, Weight Multiplicities, and Branching Rules PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Affine Lie Algebras, Weight Multiplicities, and Branching Rules

Affine Lie Algebras, Weight Multiplicities, and Branching Rules PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Affine Lie Algebras, Weight Multiplicity and Branching Rules

Affine Lie Algebras, Weight Multiplicity and Branching Rules PDF Author: Sam Kass
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Weight Multiplicities and Young Tableaux Through Affine Crystals

Weight Multiplicities and Young Tableaux Through Affine Crystals PDF Author: Jang Soo Kim
Publisher: American Mathematical Society
ISBN: 1470459949
Category : Mathematics
Languages : en
Pages : 100

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Book Description
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Algebraic Methods in Physics

Algebraic Methods in Physics PDF Author: Yvan Saint-Aubin
Publisher: Springer Science & Business Media
ISBN: 146130119X
Category : Science
Languages : en
Pages : 268

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Book Description
This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.

Affine Lie Algebras and Quantum Groups

Affine Lie Algebras and Quantum Groups PDF 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.

Recent Developments in Quantum Affine Algebras and Related Topics

Recent Developments in Quantum Affine Algebras and Related Topics PDF Author: Naihuan Jing
Publisher: American Mathematical Soc.
ISBN: 0821811991
Category : Mathematics
Languages : en
Pages : 482

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Book Description
This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.

Symmetries, Lie Algebras and Representations

Symmetries, Lie Algebras and Representations PDF Author: Jürgen Fuchs
Publisher: Cambridge University Press
ISBN: 9780521541190
Category : Mathematics
Languages : en
Pages : 464

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Book Description
This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.

Planar Algebras in Braided Tensor Categories

Planar Algebras in Braided Tensor Categories PDF Author: André Gil Henriques
Publisher: American Mathematical Society
ISBN: 1470455404
Category : Mathematics
Languages : en
Pages : 100

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Book Description
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