Type: Seminar

Distribution: World

Expiry: 29 Apr 2024

CalTitle1: Algebra Seminar: Schurian-infinite blocks of type A Hecke algebras

Auth: alexs@desktop-h8gjltm.staff.wireless.sydney.edu.au (ashe8718) in SMS-SAML

Liron Speyer (OIST) is speaking in the Algebra Seminar this week. We will go out for lunch after the talk. When: Friday 23 February, 12-1pm Where: Carslaw 175 Title: Schurian-infinite blocks of type A Hecke algebras Abstract: For any algebra A over an algebraically closed field F, we say that an A-module M is Schurian if End_A(M) is isomorphic to F. We say that A is Schurian-finite if there are only finitely many isomorphism classes of Schurian A-modules, and Schurian-infinite otherwise. I will present joint work with Susumu Ariki and Sinead Lyle in which we classified the Schurian-finiteness of blocks of type A Hecke algebras - when e is not 2, a block of the Hecke algebra is Schurian-finite if and only if it has finite representation type, if and only it has weight 0 or 1. I will give an overview of the techniques that were used in this project.

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