Global ETD Search

1	Centra of Quiver Algebras Gawell, Elin January 2014 (has links) 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. 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 Mathematics Matematik