The hochschild cohomology ring of a class of special biserial algebras
By N. Snashall, R. Taillefer. 2008
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We consider a class of self-injective special biserial algebras ΛN over a field K and show that the Hochschild cohomology ring of dΛN is a finitely generated K-algebra. Moreover, the Hochschild cohomology ring of ΛN modulo nilpotence is a finitely generated commutative K-algebra of Krull dimension two. As a consequence the conjecture of [N. Snashall and O. Solberg, Support varieties and Hochschild cohomology rings, Proc. London Math. Soc.88 (2004) 705–732], concerning the Hochschild cohomology ring modulo nilpotence, holds for this class of algebras.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/04e7253d9ffe173fe19de1b9e3e729243e6a1824
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Trivial extensions of gentle algebras and Brauer graph algebras (2014, background): “For example, their Auslander-Reiten structure has been determined in [9], and, for an example of more recent papers on the cohomological structure of these algebras see [7, 8, 24].”