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math-ph2000★ 14 cited
Representations of the Exceptional Lie superalgebra $E(3,6): II. Four series of degenerate modules
Victor G. Kac, Alexei Rudakov
Four $\ZZ_+$-bigraded complexes with the action of the exceptional infinite-dimensional Lie superalgebra E(3,6) are constructed. We show that all the images and cokernels and all b…
math-ph2000★ 2 cited
Representations of the Exceptional Lie superalgebra E(3,6): I. Degeneracy conditions
Victor G. Kac, Alexi Rudakov
Recently one of the authors obtained a classification of simple infinite-dimensional Lie superalgebras of vector fields which extends the well-known classification of E. Cartan in…
math-ph2000★ 108 cited
Integrable highest weight modules over affine superalgebras and Appell's function
Victor G. Kac, Minoru Wakimoto
We classify integrable irreducible highest weight representations of non-twisted affine Lie superalgebras. We give a free field construction in the level~1 case. The analysis of th…