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1.

図書
図書
1. Infinite dimensional Lie algebras : an introduction
Victor G. Kac
出版情報: Boston : Birkhäuser, 1983  xvi, 245 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 44
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2.

図書
図書
2. Vertex algebras for beginners. 2nd ed
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1998  vi, 201 p. ; 26 cm
シリーズ名: University lecture series ; v. 10
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3.

図書
図書
3. Vertex algebras for beginners
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1997  viii, 141 p. ; 25 cm
シリーズ名: University lecture series ; v. 10
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4.

図書
図書
4. Quantum calculus (: pbk)
Victor Kac, Pokman Cheung
出版情報: New York : Springer, c2002  ix, 112 p. ; 24 cm
シリーズ名: Universitext
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5.

図書
図書
5. Infinite dimensional groups with applications
edited by V. Kac
出版情報: New York : Springer-Verlag, c1985  380 p. ; 24 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 4
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6.

図書
図書
6. Infinite dimensional Lie algebras. 3rd ed
Victor G. Kac
出版情報: Cambridge : Cambridge University Press, 1990  xxi, 400 p. ; 24 cm
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目次情報: 続きを見る
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：
7.

図書
図書
7. Infinite dimensional Lie algebras. 3rd ed (: pbk)
Victor G. Kac
出版情報: Cambridge : Cambridge University Press, 1995, c1990  xxi, 400 p. ; 23 cm
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目次情報: 続きを見る
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：
8.

図書
図書
8. Infinite dimensional Lie algebras. 2nd ed
Victor G. Kac
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1985  xvii, 280 p. ; 22 cm
所蔵情報: loading…
目次情報: 続きを見る
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：
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