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From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses

Tomasz Brzezinski Orcid Logo, Steffen Koenig, Julian Külshammer

Bulletin of the London Mathematical Society, Volume: 52, Issue: 2, Pages: 367 - 378

Swansea University Author: Tomasz Brzezinski Orcid Logo

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DOI (Published version): 10.1112/blms.12331

Abstract

Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a characterisation of exact Borel subalgebras arising in this way is given.

Published in: Bulletin of the London Mathematical Society
ISSN: 0024-6093 1469-2120
Published: Wiley 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa53009
first_indexed 2019-12-10T19:16:14Z
last_indexed 2025-04-09T03:57:34Z
id cronfa53009
recordtype SURis
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spelling 2025-04-08T11:16:13.3958602 v2 53009 2019-12-10 From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2019-12-10 MACS Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a characterisation of exact Borel subalgebras arising in this way is given. Journal Article Bulletin of the London Mathematical Society 52 2 367 378 Wiley 0024-6093 1469-2120 16G10 (primary), 16E45, 16T15, 17B10, 17B35 (secondary) 23 4 2020 2020-04-23 10.1112/blms.12331 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Not Required 2025-04-08T11:16:13.3958602 2019-12-10T13:41:44.4909813 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzezinski 0000-0001-6270-3439 1 Steffen Koenig 2 Julian Külshammer 3 53009__16070__bb1aa25a550c4232831906aa4aba57bf.pdf directedbocsesstandardised_submitted.pdf 2019-12-10T13:44:13.7650288 Output 337510 application/pdf Accepted Manuscript true true eng
title From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
spellingShingle From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
Tomasz Brzezinski
title_short From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
title_full From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
title_fullStr From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
title_full_unstemmed From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
title_sort From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzezinski
Steffen Koenig
Julian Külshammer
format Journal article
container_title Bulletin of the London Mathematical Society
container_volume 52
container_issue 2
container_start_page 367
publishDate 2020
institution Swansea University
issn 0024-6093
1469-2120
doi_str_mv 10.1112/blms.12331
publisher Wiley
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a characterisation of exact Borel subalgebras arising in this way is given.
published_date 2020-04-23T04:45:40Z
_version_ 1857436978739412992
score 11.461431

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