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dc.contributor.authorFemić, Bojanaen_US
dc.date.accessioned2021-05-17T11:24:08Z-
dc.date.available2021-05-17T11:24:08Z-
dc.date.issued2021-03-28-
dc.identifier.issn0927-2852-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4556-
dc.description.abstractIn the preceeding paper we constructed an infinite exact sequence a la Villamayor–Zelinsky for a symmetric finite tensor category. It consists of cohomology groups evaluated at three types of coefficients which repeat periodically. In the present paper we interpret the middle cohomology group in the second level of the sequence. We introduce the notion of coring categories and we obtain that the mentioned middle cohomology group is isomorphic to the relative group of Azumaya quasi coring categories. This result is a categorical generalization of the classical Crossed Product Theorem, which relates the relative Brauer group and the second Galois cohomology group with respect to a Galois field extension. We construct the colimit over symmetric finite tensor categories of the relative groups of Azumaya quasi coring categories and the full group of Azumaya quasi coring categories over vec. We prove that the latter two groups are isomorphic.en_US
dc.publisherSpringer Linken_US
dc.relation.ispartofApplied Categorical Structuresen_US
dc.subjectBrauer–Picard group | Cohomology groups | Finite tensor category | Symmetric monoidal categoryen_US
dc.titleCoring Categories and Villamayor–Zelinsky Sequence for Symmetric Finite Tensor Categoriesen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10485-020-09624-8-
dc.identifier.scopus2-s2.0-85103060032-
dc.contributor.affiliationMathematicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage485-
dc.relation.lastpage527-
dc.relation.volume29-
dc.description.rank~M23-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.deptMathematical Institute of the Serbian Academy of Sciences and Arts-
crisitem.author.orcid0000-0002-5767-1708-
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