4 papers
math.RT2026
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…
math.RT2026
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^…
math.RT2026
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…