Tuesday, May 28, 14:00, 7.527

Geetha Thangavelu (IISER Thiruvananthapuram), Permutation modules of the walled Brauer algebras.

Abstract:
The walled Brauer algebras arise in the context of Schur-Weyl duality where the general linear group Gl_n acts on the mixed tensor space of its natural representation V and its dual. In this talk, we will see a construction of permutation modules of direct product of symmetric groups and the walled Brauer algebras which is similar to the construction of permutation modules by Hartmann, Henke, Koenig and Paget for cellularly stratified algebras as well the construction from Inga Paul's paper. We prove that if the characteristic of the field is other than 2 and 3, the permutation modules of walled Brauer algebras can be written as a direct sum of indecomposable Young modules. This is a joint work with Sulakhana Chowdhury.