3 papers
math.CO2026
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…
math.RT2026
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…
math.RT2026
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…