Tuesday, June 17, 15:15, 7.527

Geetha Thangavelu (IISER Thiruvananthapuram), Young modules and filtration multiplicities of Brauer algebras of type C.

Abstract:
In this talk, we will see the construction of the permutation modules and Young modules of Brauer algebras of type C by extending the representation theory of the group algebra of hyperoctahedral groups. We further establish a stratifying system for the Brauer algebras of type C. This extends the work of Hemmer-Nakano for the Hecke algebras and allows us to determine when the multiplicities of cell modules in any filtration are well-defined. As a consequence, we prove that if the characteristic of the field is neither 2 nor 3, then every permutation module of the Brauer algebra of type C decomposes as a direct sum of indecomposable Young modules.
This is a joint work with Sulakhana Chowdhury.