12 citations · 42 across the 20 of their papers we have counts for
24 papers
Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture
Fabrizio Caselli, Mario Marietti
In this work, we settle a problem that dates back to the early 2000s. We provide a complete characterization of special matchings of arbitrary Bruhat intervals in Coxeter groups of…
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 finite irreducible conformal modules for
Lucia Bagnoli, Fabrizio Caselli
We classify the finite irreducible modules over the conformal superalgebra by their correspondence with finite conformal modules over the associated annihilation superalge…
Pircon kernels and up-down symmetry
Fabrizio Caselli, Mario Marietti
We show that a symmetry property that we call the up-down symmetry implies that the Kazhdan--Lusztig -polynomials of a pircon are a -kernel, and we show that this prope…