Centra of Quiver Algebras
2014 (English)Licentiate thesis, monograph (Other academic)
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.
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
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-106734ISBN: 978-91-7447-960-7OAI: oai:DiVA.org:su-106734DiVA: diva2:738572
2014-09-10, Rum 306, Hus 6, Kräftriket, Matematiska institutionen, Stockholms universitet, Stockholm, 13:00 (English)
Snellman, Jan, Universitetslektor
Gottlieb, Christian, DocentXantcha, Qimh, Doktor