3 papers
math.RT2025
Seminormal bases of cyclotomic Hecke-Clifford algebras
Shuo Li, Lei Shi
In this paper, we describe actions of standard generators on certain bases of simple modules for semisimple cyclotomic Hecke-Clifford superalgebras. As applications, we explicitly…
math.RT2025
On the (super)cocenter of Cyclotomic Sergeev algebras
Shuo Li, Lei Shi
We show that cyclotomic Sergeev algebra is symmetric when the level is odd and supersymmetric when the level is even. We give an integral basis for ${\rm Tr}(\ma…
math.RT2025
On representation theory of cyclotomic Hecke-Clifford algebras
Lei Shi, Jinkui Wan
In this article, we give an explicit construction of the simple modules for both non-degenerate and degenerate cyclotomic Hecke-Clifford superalgebras over an algebraically closed…