dc.creator | Meinel, Joanna | |
dc.creator | Nguyen, Van C. | |
dc.creator | Pauwels, Bregje | |
dc.creator | Redondo, Maria Julia | |
dc.creator | Solotar, Andrea Leonor | |
dc.date.accessioned | 2022-06-03T16:01:46Z | |
dc.date.accessioned | 2022-10-15T01:28:19Z | |
dc.date.available | 2022-06-03T16:01:46Z | |
dc.date.available | 2022-10-15T01:28:19Z | |
dc.date.created | 2022-06-03T16:01:46Z | |
dc.date.issued | 2021-08 | |
dc.identifier | Meinel, Joanna; Nguyen, Van C.; Pauwels, Bregje; Redondo, Maria Julia; Solotar, Andrea Leonor; The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 580; 8-2021; 264-298 | |
dc.identifier | 0021-8693 | |
dc.identifier | http://hdl.handle.net/11336/158907 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4329934 | |
dc.description.abstract | We determine the Gerstenhaber structure on the Hochschild cohomology ring of a class of self-injective special biserial algebras. Each of these algebras is presented as a quotient of the path algebra of a certain quiver. In degree one, we show that the cohomology is isomorphic, as a Lie algebra, to a direct sum of copies of a subquotient of the Virasoro algebra. These copies share Virasoro degree 0 and commute otherwise. Finally, we describe the cohomology in degree nas a module over this Lie algebra by providing its decomposition as a direct sum of indecomposable modules. | |
dc.language | eng | |
dc.publisher | Academic Press Inc Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869321002015?via%3Dihub | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2021.03.032 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | GERSTENHABER | |
dc.subject | HOCHSCHILD | |
dc.subject | VIRASORO | |
dc.subject | SELF-INJECTIVE | |
dc.title | The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |