55 citations · 106 across the 15 of their papers we have counts for
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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…
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…
A Lie conformal superalgebra and duality of representations for E(4,4)
Nicoletta Cantarini, Fabrizio Caselli, Victor Kac
We construct a duality functor in the category of continuous representations of the Lie superalgebra E(4,4), the only exceptional simple linearly compact Lie superalgebra, for whic…
Classification of degenerate Verma modules for E(5,10)
Nicoletta Cantarini, Fabrizio Caselli, Victor Kac
Given a Lie superalgebra with a subalgebra , and a finite-dimensional irreducible -module , the induced -module $M(F)=U({\…
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras
Nicoletta Cantarini, Fabrizio Caselli, Victor Kac
We construct a duality functor on the category of continuous representations of linearly compact Lie superalgebras, using representation theory of Lie conformal superalgebras. We c…
Low degree morphisms of E(5,10)-generalized verma modules
Nicoletta Cantarini, Fabrizio Caselli
In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial…