262 citations · 3.5k across the 155 of their papers we have counts for
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A Lax type operator for quantum finite W-algebras
Alberto De Sole, Victor Kac, Daniele Valeri
For a reductive Lie algebra g, its nilpotent element f and its faithful finite dimensional representation, we construct a Lax operator L(z) with coefficients in the quantum finite…
On characters of irreducible highest weight modules of negative integer level over affine Lie algebras
Victor G. Kac, Minoru Wakimoto
We prove a character formula for the irreducible modules from the category over the simple affine vertex algebra of type and of level .…
Classical affine W-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
We prove that any classical affine W-algebra W(g,f), where g is a classical Lie algebra and f is an arbitrary nilpotent element of g, carries an integrable Hamiltonian hierarchy of…
On classification of non-equal rank affine conformal embeddings and applications
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria +2
We complete the classification of conformal embeddings of a maximally reductive subalgebra into a simple Lie algebra at non-integrable non-critical leve…
Representations of superconformal algebras and mock theta functions
Victor G. Kac, Minoru Wakimoto
It is well known that the normaized characters of integrable highest weight modules of given level over an affine Lie algebra span an -invariant…