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On the graded algebras associated with Hecke symmetries

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dc.contributor.author Skryabin S.
dc.date.accessioned 2021-02-25T20:44:42Z
dc.date.available 2021-02-25T20:44:42Z
dc.date.issued 2020
dc.identifier.issn 1661-6952
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/162362
dc.description.abstract © 2020 European Mathematical Society Publishing House. All rights reserved. A Hecke symmetry R on a finite dimensional vector space V gives rise to two graded factor algebras S(V;R) and Λ(V;R) of the tensor algebra of V which are regarded as quantum analogs of the symmetric and the exterior algebras. Another graded algebra associated with R is the Faddeev-Reshetikhin-Takhtajan bialgebra A.R/ which coacts on S(V;R) and .Λ(V;R). There are also more general graded algebras defined with respect to pairs of Hecke symmetries and interpreted in terms of quantum hom-spaces. Their nice behaviour has been known under the assumption that the parameter q of the Hecke relation is such that 1 C q C C qn-1 ≠ 0 for all n > 0. The present paper makes an attempt to investigate several questions without this condition on q. Particularly we are interested in Koszulness and Gorensteinness of those graded algebras. For q a root of 1 positive results require a restriction on the indecomposable modules for the Hecke algebras of type A that can occur as direct summands of representations in the tensor powers of V.
dc.relation.ispartofseries Journal of Noncommutative Geometry
dc.subject FRT bialgebras
dc.subject Gorenstein algebras
dc.subject Graded algebras
dc.subject Hecke symmetries
dc.subject Koszul algebras
dc.subject Quantum groups
dc.subject Quantum hom-spaces
dc.subject Quantum symmetric algebras
dc.title On the graded algebras associated with Hecke symmetries
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 14
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 937
dc.source.id SCOPUS16616952-2020-14-3-SID85096939484


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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