Hazi, A (2017) Radically filtered quasi-hereditary algebras and rigidity of tilting modules. Mathematical Proceedings of the Cambridge Philosophical Society, 163 (2). pp. 265-288. ISSN 0305-0041
Abstract
Let 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 SL 4(K) are rigid, where K is an algebraically closed field of characteristic p ≥ 5.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Cambridge Philosophical Society 2017. This article has been published in a revised form in Mathematical Proceedings of the Cambridge Philosophical Society [https://doi.org/10.1017/S0305004116001006]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Oct 2017 09:59 |
Last Modified: | 04 Oct 2017 03:33 |
Status: | Published |
Publisher: | Cambridge University Press |
Identification Number: | 10.1017/S0305004116001006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:121929 |