عنوان

Lectures on infinite-dimensional Lie algebra /

شابک

128195635X

شابک

9781281956354

شابک

9789812810700

شابک

9812810706

شابک اشتباه

9810241283

شابک اشتباه

9810241291

شماره

b737156

عنوان اصلي

Lectures on infinite-dimensional Lie algebra /

نام عام مواد

[Book]

نام نخستين پديدآور

Minoru Wakimoto.

محل نشرو پخش و غیره

River Edge, N.J. :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2001.

نام خاص و کميت اثر

1 online resource (x, 444 pages)

متن يادداشت

Includes bibliographical references (pages 429-440) and index.

متن يادداشت

1. Preliminaries on affine Lie algebras. 1.1. Affine Lie algebras. 1.2. Extended affine Weyl group. 1.3. Some formulas for finite-dimensional simple Lie algebras -- 2. Characters of integrable representations. 2.1. Weyl-Kac character formula. 2.2. Specialized characters. 2.3. Product expression of characters. 2.4. Modular transformation -- 3. Principal admissible weights. 3.1. Admissible weights. 3.2. Principal admissible weights. 3.3. Characters of principal admissible representations. 3.4. Parametrization of principal admissible weights. 3.5. Modular transformation -- 4. Residue of principal admissible characters. 4.1. Non-degenerate principal admissible weights. 4.2. Modular transformation of residue. 4.3. Fusion coefficients -- 5. Characters of affine orbifolds. 5.1. Characters of finite groups. 5.2. Fusion datum. 5.3. Characters of affine orbifolds -- 6. Operator calculus. 6.1. Operator products. 6.2. Boson-fermion correspondence -- 7. Branching functions. 7.1. Virasoro modules. 7.2. Virasoro modules of central charge-[symbol]. 7.3. Branching functions. 7.4. Tensor product decomposition -- 8. W-algebra. 8.1. Free fermionic fields [symbol](z) and [symbol](z). 8.2. Free fermionic fields [symbol](z) and [symbol](z). 8.3. Ghost field associated to a simple Lie algebra. 8.4. BRST complex. 8.5. Euler-Poincaré characteristics -- 9. Vertex representations for affine Lie algebras. 9.1. Simple examples of vertex operators. 9.2. Basic representations of [symbol](2, C). 9.3. Construction of basic representation -- 10. Soliton equations. 10.1. Hirota bilinear differential operators. 10.2. KdV equation and Hirota bilinear differential equations. 10.3. Hirota equations associated to the basic representation. 10.4. Non-linear Schrödinger equations.

بدون عنوان

0

متن يادداشت

The representation theory of affine lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three valuable works on it, written by Victor G Kac. This volume begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine lie algebras. Since these topics are important not only in themselves but also in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations.

عنوان

Lectures on infinite-dimensional Lie algebra.

شماره استاندارد بين المللي کتاب و موسيقي

9789810241285

عنوان اصلي به زبان ديگر

Infinite-dimensional Lie algebra

موضوع مستند نشده

Infinite dimensional Lie algebras.

موضوع مستند نشده

Lie algebras.

موضوع مستند نشده

Algèbres de Lie de dimension infinie.

موضوع مستند نشده

Lie, Algèbres de.

موضوع مستند نشده

Infinite dimensional Lie algebras.

موضوع مستند نشده

Lie algebras.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Intermediate.

موضوع مستند نشده

MAT-- 002040

موضوع مستند نشده

PBF

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Wakimoto, Minoru,1942-

تاريخ عمليات

20201203214939.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y