Oberseminar Darstellungstheorie

On the generalized graded cellular bases for cyclotomic quiver Hecke-Clifford algebrasOberseminar Darstellungstheorie

by Lei Shi (MPI Bonn)

Europe/Berlin
Endenicher Allee 60/1.008 - Seminarraum (Mathezentrum)

Endenicher Allee 60/1.008 - Seminarraum

Mathezentrum

Description

In this talk, we will explain the generalized graded cellular structure for an algebra, which generalizes the usual graded cellular algebra defined by Hu and Mathas. Then we use Kang-Kashiwara-Tsuchioka's isomorphism to construct some generalized graded cellular bases for the cyclotomic quiver Hecke-Clifford algebras of types A,  C, and cyclotomic quiver Hecke-Clifford algebras of twisted type A with even level. This talk is based on joint work with Shuo Li.