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 |
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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