262 citations · 3.5k across the 155 of their papers we have counts for
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Vertex Operator Superalgebras and Their Representations
Victor G. Kac, Weiqiang Wang
After giving some definitions for vertex operator SUPERalgebras and their modules, we construct an associative algebra corresponding to any vertex operator superalgebra, such that…
The -component KP hierarchy and representation theory
V. G. Kac, J. W. van de Leur
Starting from free charged fermions we give equivalent definitions of the $n\/$-component KP hierarchy, in terms of $τ\/$-functions $τ_α\/$ (where $α\in M =\/$ root lattice of $sl_…
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
Victor G. Kac, A. Radul
We classify positive energy representations with finite degeneracies of the Lie algebra $W_{1+\infty}\/$ and construct them in terms of representation theory of the Lie algebra $\h…
Some quantum analogues of solvable Lie groups
C. De Concini, Victor G. Kac, C. Procesi
In this paper we analyze the structure of some subalgebras of quantized enveloping algebras corresponding to unipotent and solvable subgroups of a simple Lie group G. These algebra…