Infinite dimensional Lie algebras | 東京工業大学附属図書館蔵書検索

>> Google Books

所蔵情報QRコード

Infinite dimensional Lie algebras / Victor G. Kac

版:: 3rd ed
資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, 1995, c1990
形態:: xxi, 400 p. ; 23 cm
著者名:: Kac, Victor G., 1943- <DA00080087>
ISBN:: 9780521466936 [0521466938] (: pbk)
書誌ID:: BA54195428

子書誌情報

フルテキスト

Loading contents information

所蔵情報

Loading availability information

他の版・巻

Infinite dimensional Lie algebras. 3rd ed
Victor G. Kac , Cambridge University Press , 1990

Infinite dimensional Lie algebras. 2nd ed
Victor G. Kac , Cambridge University Press , 1985

書誌詳細

注記:

"Reprinted with corrections 1995" -- t.p. verso
Bibliography: p. 367-398
Includes index

主題:

リー(Lie)代数

言語:

英語

目次情報:

Basic definitions / 1：

The invariant bilinear form and the generalized Casimir operator / 2：

Integrable representations of Kac-Moody algebras and the Weyl group / 3：

A classification of generalized Cartan matrices / 4：

Real and imaginary roots / 5：

Affine algebras: the normalized invariant form, the root system, and the Weyl group / 6：

Affine algebras as central extensions of loop algebras / 7：

Twisted affine algebras and finite order automorphisms / 8：

Highest-weight modules over Kac-Moody algebras / 9：

Integrable highest-weight modules: the character formula / 10：

Integrable highest-weight modules: the weight system and the unitarizability / 11：

Integrable highest-weight modules over affine algebras / 12：

Application to n-function identities

Sugawara operators and branching functions

Affine algebras, theta functions, and modular forms / 13：

The principal and homogeneous vertex operator constructions of the basic representation / 14：

Boson-Fermion correspondence

Application to soliton equations

Basic definitions / 1：

The invariant bilinear form and the generalized Casimir operator / 2：

Integrable representations of Kac-Moody algebras and the Weyl group / 3：

A classification of generalized Cartan matrices / 4：

Real and imaginary roots / 5：

Affine algebras: the normalized invariant form, the root system, and the Weyl group / 6：

続きを見る

東工大ブックレビュー

Loading review information

類似資料:

1 図書 Infinite dimensional Lie algebras Kac, Victor G., 1943- Cambridge University Press	7 図書 Vertex algebras for beginners Kac, Victor G., 1943- American Mathematical Society
2 図書 Infinite dimensional Lie algebras Kac, Victor G., 1943- Cambridge University Press	8 図書 Finite and infinite dimensional Lie algebras and applications in physics Bäuerle, G. G. A. (Gerard G. A.), Kerf, E. de (Eddy) North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
3 図書 Infinite dimensional Lie algebras : an introduction Kac, Victor G., 1943- Birkhäuser	9 図書 Infinite-dimensional Lie algebras (: pbk) 脇本, 実, Iohara, Kenji American Mathematical Society
4 電子ブック Infinite dimensional Lie algebras (: electronic bk) Kac, Victor G.	10 図書 Lectures on infinite-dimensional Lie algebra (: hbk ; : pbk) 脇本, 実 World Scientific
5 図書 Infinite dimensional groups with applications Kac, Victor G., 1943-, Conference on Infinite-dimensional Groups, Mathematical Sciences Research Institute (Berkeley, … Springer-Verlag	11 図書 Cohomology of infinite-dimensional Lie algebras Fuks, D. B Consultants Bureau
6 図書 Vertex algebras for beginners Kac, Victor G., 1943- American Mathematical Society	12 図書 Quantum calculus (: pbk) Kac, Victor G., 1943-, Cheung, Pokman Springer

1

2

3

4

5

6

7

8

9

10

11

12