# Radically filtered quasi-hereditary algebras and rigidity of tilting modules

 dc.creator HAZI, Amit dc.date.accessioned 2016-10-26 dc.date.accessioned 2018-11-24T23:27:06Z dc.date.available 2017-04-07T08:37:37Z dc.date.available 2018-11-24T23:27:06Z dc.date.issued 2017-09 dc.identifier https://www.repository.cam.ac.uk/handle/1810/263501 dc.identifier.uri http://repository.aust.edu.ng/xmlui/handle/123456789/3946 dc.description.abstract Let $\textit{A}$ be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients whose composition factors extend more than one layer in the radical series or the socle series. We apply this theorem to show that the restricted tilting modules for $\textit{SL}$$_4$($K$) are rigid, where $K$ is an algebraically closed field of characteristic $p$ $\geqslant$ 5. dc.language en dc.publisher Cambridge University Press dc.publisher Mathematical Proceedings of the Cambridge Philosophical Society dc.title Radically filtered quasi-hereditary algebras and rigidity of tilting modules dc.type Article
﻿

## Files in this item

FilesSizeFormatView
Hazi-2017-Mathe ... ilosophical_Society-AM.pdf400.1Kbapplication/pdfView/Open