262 citations · 3.5k across the 155 of their papers we have counts for
166 papers
Classification of degenerate Verma modules over
Nicoletta Cantarini, Fabrizio Caselli, Victor Kac
In this paper we classify degenerate Verma modules over the linearly compact Lie superalgebra . This completes the description of Verma modules over the exceptional linearl…
Spectral flow and application to unitarity of representations of minimal -algebras
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Using spectral flow, we provide a proof of [11, Theorem 9.17] on unitarity of Ramond twisted non-extremal representations of unitary minimal -algebras that does not rely on the…
Extremal unitary representations of big superconformal algebra
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big …
Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels
Victor G. Kac, Minoru Wakimoto
We prove that the span of normalized characters of subprincipal admissible modules over an affine Lie algebra of subprincipal admissible level is -invariant a…
Embeddings of E(1,6) in E(5,10) and E(4,4)
Nicoletta Cantarini, Fabrizio Caselli, Victor Kac
We study the embeddings of the exceptional infinite-dimensional Lie superalgebra E(1,6) in the exceptional Lie superalgebras E(5,10) and E(4,4). These questions arose in the recent…
On modular invariance of quantum affine -algebras
Victor G. Kac, Minoru Wakimoto
We find modular transformations of normalized characters for the following -algebras: (a) , where , or , , , and…