262 citations · 3.5k across the 155 of their papers we have counts for
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The generalized Giambelli formula and polynomial KP and CKP tau-functions
Victor Kac, Johan van de Leur
The first part of the paper is devoted to two descriptions of all polynomial tau-functions of the KP hierarchy: by a generalized Jacobi-Trudy formula, and a generalized Giambelli f…
Orbifolds of Lattice Vertex Algebras
Bojko Bakalov, Jason Elsinger, Victor G. Kac +1
To a positive-definite even lattice , one can associate the lattice vertex algebra , and any automorphism of lifts to an automorphism of . In this paper, we in…
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras
Roman Bezrukavnikov, Victor Kac, Vasily Krylov
Let be a simple finite dimensional complex Lie algebra and let be the corresponding affine Lie algebra. Kac and Wakimoto observed that in so…
Adler-Oevel-Ragnisco type operators and Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
The theory of triples of Poisson brackets and related integrable systems, based on a classical R-matrix R in End_F(g), where g is a finite dimensional associative algebra over a fi…