Victor G. Kac
Massachusetts Institute of Technology
389 Papers
2.3K Citations
Victor G. Kac is an academic researcher from Massachusetts Institute of Technology. The author has contributed to research in topics: Lie conformal algebra & Lie algebra. The author has an hindex of 73, co-authored 373 publications. Previous affiliations of Victor G. Kac include Institute for Advanced Study & Institut des Hautes Études Scientifiques.
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Papers
Representations of the Exceptional Lie superalgebra $E(3,6): II. Four series of degenerate modules
Victor G. Kac,Alexei Rudakov +1 more
TL;DR: In this article, it was shown that all the images and cokernels and all but three kernels of the differentials are irreducible E(3,6)-modules.
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Finite vs. Infinite Decompositions in Conformal Embeddings
TL;DR: In this article, it was shown that an embedding of simple affine vertex algebras into a simple Lie algebra is conformal if and only if the corresponding central charges are equal.
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Conformal Embeddings and Simple Current Extensions
TL;DR: In this article, the structure of intermediate vertex al- gebras associated with a maximal conformal embedding of a reductive Lie algebra in a semisimple Lie algebra of classical type is investigated.
Adler-Gelfand-Dickey approach to classical W-Algebras within the theory of Poisson vertex algebras
TL;DR: In this article, the authors put the Adler-Gelfand-Dickey approach to classical W-algebras in the framework of Poisson vertex algesbras and showed how to recover the bi-Poisson structure of the Kadomtsev-Petviashvili (KP) hierarchy, together with its generalizations and reduction to the Nth Kortewegde Vries (KdV) hierarchy.
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On the classification of subalgebras of Cend_N and gc_N
TL;DR: In this paper, the problem of classification of infinite subalgebras of Cend_N and of gc_N that acts irreducibly on C[\partial]^N is discussed.
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