On the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3

dc.creatorPogorelsky, Barbara
dc.creatorVay, Cristian Damian
dc.date.accessioned2019-11-07T16:35:00Z
dc.date.accessioned2022-10-15T06:47:43Z
dc.date.available2019-11-07T16:35:00Z
dc.date.available2022-10-15T06:47:43Z
dc.date.created2019-11-07T16:35:00Z
dc.date.issued2018-09-13
dc.identifierPogorelsky, Barbara; Vay, Cristian Damian; On the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3; Springer; Algebras and Representation Theory; 13-9-2018; 1-28
dc.identifier1386-923X
dc.identifierhttp://hdl.handle.net/11336/88151
dc.identifier1572-9079
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4356939
dc.description.abstractLet D be the Drinfeld double of FK3#S3 . We have described the simple D-modules in Pogorelsky and Vay (Adv. Math. 301, 423-457, 2016). In the present work, we describe the indecomposable summands of the tensor products between them. We classify the extensions of the simple modules and show that D is of wild representation type. We also investigate the projective modules and their tensor products.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-018-9826-0
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-018-9826-0
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectFOMIN-KIRILLOV ALGEBRAS
dc.subjectFUSION RULES
dc.subjectHOPF ALGEBRAS
dc.subjectNICHOLS ALGEBRAS
dc.subjectREPRESENTATION THEORY
dc.titleOn the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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