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Infinite dimensional lie algebras 2nd ed

Infinite dimensional lie algebras 2nd ed (2회 대출)

자료유형
단행본
개인저자
Kac, Victor G., 1943-
서명 / 저자사항
Infinite dimensional lie algebras / Victor G. Kac.
판사항
2nd ed.
발행사항
Cambridge [Cambridgeshire] ;   New York :   Cambridge University Press,   c1985.  
형태사항
xvii, 280 p. : ill. ; 24 cm.
ISBN
0521321336
서지주기
Includes bibliography(p. 261-277) and index.
일반주제명
Infinite dimensional Lie algebras.
000 00731camuuu200229 a 4500
001 000000903260
005 19981209102847.0
008 850607s1985 enka b 00110 eng
010 ▼a 85014896 //r92
020 ▼a 0521321336
040 ▼a DLC ▼c DLC ▼d DLC ▼d 244002
049 0 ▼l 452031796
050 0 0 ▼a QA252.3 ▼b .K33 1985
082 0 0 ▼a 512.55 ▼2 19
090 ▼a 512.55 ▼b K11i2
100 1 ▼a Kac, Victor G., ▼d 1943-
245 1 0 ▼a Infinite dimensional lie algebras / ▼c Victor G. Kac.
250 ▼a 2nd ed.
260 ▼a Cambridge [Cambridgeshire] ; ▼a New York : ▼b Cambridge University Press, ▼c c1985.
300 ▼a xvii, 280 p. : ▼b ill. ; ▼c 24 cm.
504 ▼a Includes bibliography(p. 261-277) and index.
650 0 ▼a Infinite dimensional Lie algebras.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실(5층)/ 청구기호 512.55 K11i2 등록번호 452031796 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

1. Basic definitions; 2. The invariant bilinear form and the generalized Casimir operator; 3. Integrable representations of Kac?Moody algebras and the Weyl group; 4. A classification of generalized Cartan matrices; 5. Real and imaginary roots; 6. Affine algebras: The normalized invariant form, the root system, and the Weyl group; 7. Affine algebras as central extensions of loop algebras; 8. Twisted affine algebras and finite order automorphisms; 9. Highest-weight modules over Kac?Moody algebras; 10. Integrable highest-weight modules: The character formula; 11. Integrable highest-weight modules: The weight system and the unitarizability; 12. Integrable highest-weight modules over affine algebras. Application to n-function identities. Sugawara operators and branching functions; 13. Affine algebras, theta functions, and modular forms; 14. The principal and homogeneous vertex operator constructions of the basic representation. Boson?Fermion correspondence. Application to soliton equations.


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