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Algebra & Combinatorics Seminar

Title: Alternating Schur Algebras and Koszul Duality
Speaker: Amritanshu Prasad (IMSc, Chennai)
Date: 08 May 2019
Time: 3 pm
Venue: LH-5, Mathematics Department

Schur classified polynomial representations of GL(n) using the commuting actions of the dth symmetric group and GL(n) on the d-fold tensor power of n-dimensional space. We set out to investigate what happens when the symmetric group in this picture is shrunk to the alternating group. This led to a simple interpretation and clearer understanding of the Koszul duality functor on the category of polynomial representations of GL(n).

This is based on joint work with T. Geetha and Shraddha Srivastava (

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 02 Dec 2023