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Centra of Quiver Algebras
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-8836-1868
2014 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

A partly (anti-)commutative quiver algebra is a quiver algebra bound by an (anti-)commutativity ideal, that is, a quadratic ideal generated by monomials and (anti-)commutativity relations. We give a combinatorial description of the ideals and the associated generator graphs, from which one can quickly determine if the ideal is admissible or not. We describe the center of a partly (anti-)commutative quiveralgebra and state necessary and sufficient conditions for the center to be finitely genteratedas a K-algebra.Examples are provided of partly (anti-)commutative quiver algebras that are Koszul algebras. Necessary and sufficient conditions for finite generation of the Hochschild cohomology ring modulo nilpotent elements for a partly (anti-)commutative Koszul quiver algebra are given.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, 2014. , 63 p.
Keyword [en]
quiver, algebra, commutativity ideal, anti-commutativity ideal, non-commutative, partly commutative, partly anti-commutative, center, Koszul algebra, finitely generated, graded center, Hochschild cohomology, support variety, associative algebra
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-106734ISBN: 978-91-7447-960-7 (print)OAI: oai:DiVA.org:su-106734DiVA: diva2:738572
Presentation
2014-09-10, Rum 306, Hus 6, Kräftriket, Matematiska institutionen, Stockholms universitet, Stockholm, 13:00 (English)
Opponent
Supervisors
Available from: 2014-08-20 Created: 2014-08-18 Last updated: 2014-08-20Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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