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http://hdl.handle.net/1942/14858
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DC Field | Value | Language |
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dc.contributor.author | Li, Libin | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2013-03-29T07:54:46Z | - |
dc.date.available | 2013-03-29T07:54:46Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Andruskiewitsch, Nicolás; Cuadra, Juan; Torrecillas, Blas (Ed.). Contemporary Mathematics 585 : Hopf Algebras and Tensor Categories, p. 275-288 | - |
dc.identifier.isbn | 978-0-8218-7564-3 | - |
dc.identifier.issn | 0271-4132 | - |
dc.identifier.uri | http://hdl.handle.net/1942/14858 | - |
dc.description.abstract | In this paper, we investigate the Green ring r(Hn,d) of the generalized Taft algebra Hn,d, extending the results of Chen, Van Oystaeyen and Zhang (to appear in Proc. of AMS). We shall determine all nilpotent elements of the Green ring r(Hn,d). It turns out that each nilpotent element in r(Hn,d) can be written as a sum of indecomposable projective representations. The Jacobson radical J(r(Hn,d)) of r(Hn,d) is generated by one element, and its rank is n −n/d. Moreover, we will present all the finite dimensional indecomposable representations over the complexified Green ring R(Hn,d) of Hn,d. Our analysis is based on the decomposition of the tensor product of indecomposable representations and the observation of the solutions for the system of equations associated to the generating relations of the Green ring r(Hn,d). | - |
dc.language.iso | en | - |
dc.relation.ispartofseries | Contemporary Mathematics | - |
dc.title | The Green rings of the generalized Taft algebras | - |
dc.type | Proceedings Paper | - |
local.bibliographicCitation.authors | Andruskiewitsch, Nicolás | - |
local.bibliographicCitation.authors | Cuadra, Juan | - |
local.bibliographicCitation.authors | Torrecillas, Blas | - |
local.bibliographicCitation.conferencedate | 4-8 July 2011 | - |
local.bibliographicCitation.conferencename | Hopf Algebras and Tensor Categories | - |
local.bibliographicCitation.conferenceplace | Almeria, Spain | - |
dc.identifier.epage | 288 | - |
dc.identifier.spage | 275 | - |
local.bibliographicCitation.jcat | C1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Proceedings Paper | - |
local.relation.ispartofseriesnr | 585 | - |
dc.identifier.doi | 10.1090/conm/585/11618 | - |
local.bibliographicCitation.btitle | Contemporary Mathematics 585 : Hopf Algebras and Tensor Categories | - |
item.fullcitation | Li, Libin & ZHANG, Yinhuo (2013) The Green rings of the generalized Taft algebras. In: Andruskiewitsch, Nicolás; Cuadra, Juan; Torrecillas, Blas (Ed.). Contemporary Mathematics 585 : Hopf Algebras and Tensor Categories, p. 275-288. | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | Li, Libin | - |
item.contributor | ZHANG, Yinhuo | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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offprint.pdf | 187.58 kB | Adobe PDF | View/Open |
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