Fock representations of the affine Lie algebraA 1 (1)

Minoru Wakimoto1
1Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, Japan

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Tài liệu tham khảo

Jakobsen, H.P., Kac, V.G.: A new class of unitarizable highest weight representations of infinite dimensional Lie algebras. In: Non-linear equations in classical and quantum field theory. Sanchez (ed.). Lecture Notes in Physics, Vol. 226, pp. 1?20. Berlin, Heidelberg, New York: Springer 1985

Jantzen, J.C.: Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren. Math. Ann.226, 53?65 (1977)

Jantzen, J.C.: Moduln mit einem höchsten Gewicht. Lecture Notes in Mathematics, Vol. 750. Berlin, Heidelberg, New York: Springer 1979

Kac, V.G.: Infinite dimensional Lie algebras. An introduction. Prog. Math., Boston, Vol.44. Boston: Birkhäuser 1983

Kac, V.G., Kazhdan, D.A.: Structure of representations with highest weight of infinite dimensional Lie algebras. Adv. Math.34, 97?108 (1979)

Shapovalov, N.N.: On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. Funct. Anal. Appl.6, 307?312 (1972)