Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • 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
Higher Nakayama algebras I: Construction
Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0002-1216-4024
Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece.
Laboratoire de mathématiques d'Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France.
2019 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 351, p. 1139-1200Article in journal (Refereed) Published
Abstract [en]

We introduce higher dimensional analogues of the Nakayama algebras from the viewpoint of Iyama's higher Auslander–Reiten theory. More precisely, for each Nakayama algebra A and each positive integer d, we construct a finite dimensional algebra A(d) having a distinguished d-cluster-tilting A(d)-module whose endomorphism algebra is a higher dimensional analogue of the Auslander algebra of A. We also construct higher dimensional analogues of the mesh category of type ZΑ∞ and the tubes.

Place, publisher, year, edition, pages
2019. Vol. 351, p. 1139-1200
Keywords [en]
Auslander-Reiten theory, Auslander-Reiten quiver, Nakayama algebras, Cluster-tilting, Homological embedding
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-389551DOI: 10.1016/j.aim.2019.05.026ISI: 000475548900031OAI: oai:DiVA.org:uu-389551DiVA, id: diva2:1337844
Available from: 2019-07-17 Created: 2019-07-17 Last updated: 2019-08-16Bibliographically approved

Open Access in DiVA

The full text will be freely available from 2021-06-05 10:25
Available from 2021-06-05 10:25

Other links

Publisher's full text

Search in DiVA

By author/editor
Külshammer, Julian
By organisation
Algebra and Geometry
In the same journal
Advances in Mathematics
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 22 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • 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