Labeling irreducible modules for Hecke algebras of type A
Seminar
Speaker
Ola Amara-Omari and Malka Schaps (Bar-Ilan University)
Date
07/06/2023 - 11:30 - 10:30Add to Calendar
2023-06-07 10:30:00
2023-06-07 11:30:00
Labeling irreducible modules for Hecke algebras of type A
The irreducible modules in the blocks of a tower of Hecke algebras of rank e are labeled by certain multipartitions called e-regular. The best-known case is for blocks of the symmetric groups over a field of characteristic p, where the rank e is p, and the multipartitions are just partitions. In general, the e-regular multipartions are generated recursively.
We consider a crystal in which the vertices are blocks, generated by Chevalley generators f_i. If we restrict to a face generated by f_1 and f_2 for e>2, we can give a non-recursive criterion for a multipartition to be e-regular.
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https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room and Zoom
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room and Zoom
Abstract
The irreducible modules in the blocks of a tower of Hecke algebras of rank e are labeled by certain multipartitions called e-regular. The best-known case is for blocks of the symmetric groups over a field of characteristic p, where the rank e is p, and the multipartitions are just partitions. In general, the e-regular multipartions are generated recursively.
We consider a crystal in which the vertices are blocks, generated by Chevalley generators f_i. If we restrict to a face generated by f_1 and f_2 for e>2, we can give a non-recursive criterion for a multipartition to be e-regular.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
תאריך עדכון אחרון : 30/05/2023
