6 papers
On the semisimplicity and Schur elements of (super)symmetric superalgebras
Lei Shi
In this paper, we use Schur elements to derive semisimplicity criteria for (super)symmetric superalgebras. We obtain a closed formula for the Schur elements of cyclotomic Hecke-Cli…
On the generalized graded cellular bases for cyclotomic quiver Hecke-Clifford superalgebras
Shuo Li, Lei Shi
In this paper, we construct semisimple deformations for cyclotomic quiver Hecke-Clifford superalgebras of types , , , . We de…
On (super)symmetrizing forms and Schur elements of cyclotomic Hecke-Clifford algebras
Shuo Li, Lei Shi
In this paper, we introduce Schur elements for supersymmetrizing superalgebras. We show that the cyclotomic Hecke-Clifford algebra is supersymmetric if $f=f^…
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…
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…
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…