uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Ringel duality as an instance of Koszul duality
2018 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 506, p. 129-187Article in journal (Refereed) Published
Abstract [en]

S. Koenig, S. Ovsienko and the second author showed that every quasi-hereditary algebra is Morita equivalent to the right algebra, i.e. the opposite algebra of the left dual, of a coring. Let A be an associative algebra and V an A-coring whose right algebra R is quasi-hereditary. In this paper, we give a combinatorial description of an associative algebra B and a B-coring W whose right algebra is the Ringel dual of R. We apply our results in small examples to obtain restrictions on the A-infinity-structure of the Ext-algebra of standard modules over a class of quasi-hereditary algebras related to birational morphisms of smooth surfaces.

Place, publisher, year, edition, pages
2018. Vol. 506, p. 129-187
Keywords [en]
Bocs, Coring, Exceptional collection, Quasi-hereditary algebra, Koszul duality, Smooth rational surface
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-359722DOI: 10.1016/j.jalgebra.2018.03.025OAI: oai:DiVA.org:uu-359722DiVA, id: diva2:1245424
Available from: 2018-09-05 Created: 2018-09-05 Last updated: 2018-09-05

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full texthttps://doi.org/10.1016/j.jalgebra.2018.03.025

Search in DiVA

By author/editor
Külshammer, Julian
In the same journal
Journal of Algebra
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 15 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf