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http://hdl.handle.net/1942/24357
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DC Field | Value | Language |
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dc.contributor.author | RAEDSCHELDERS, Theo | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2017-09-05T14:49:45Z | - |
dc.date.available | 2017-09-05T14:49:45Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS, 305, p. 601-660 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/1942/24357 | - |
dc.description.abstract | For any Koszul Artin-Schelter regular algebra A, we consider the universal Hopf algebra (aut) under bar (A) coacting on A, introduced by Manin. To study the representations (i.e. finite dimensional comodules) of this Hopf algebra, we use the Tannaka-Krein formalism. Specifically, we construct an explicit combinatorial rigid monoidal category U, equipped with a functor M to finite dimensional vector spaces such that (aut) under bar (A) = coendu(M). Using this pair (U, M) we show that (aut) under bar (A) is quasi-hereditary as a coalgebra and in addition is derived equivalent to the representation category of U. (C) 2016 Elsevier Inc. All rights reserved. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | © 2016 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Hopf algebras; Monoidal categories; Quasi-hereditary algebras | - |
dc.subject.other | Hopf algebras; Monoidal categories; Quasi-hereditary algebras | - |
dc.title | The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 660 | - |
dc.identifier.spage | 601 | - |
dc.identifier.volume | 305 | - |
local.format.pages | 60 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Raedschelders, Theo] Vrije Univ Brussel, Dept Wiskunde, Pleinlaan 2, B-1050 Brussels, Belgium. [Van den Bergh, Michel] Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.publisher.place | SAN DIEGO | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.aim.2016.09.017 | - |
dc.identifier.isi | 000406169200014 | - |
item.fullcitation | RAEDSCHELDERS, Theo & VAN DEN BERGH, Michel (2017) The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary. In: ADVANCES IN MATHEMATICS, 305, p. 601-660. | - |
item.validation | ecoom 2018 | - |
item.contributor | RAEDSCHELDERS, Theo | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0001-8708 | - |
crisitem.journal.eissn | 1090-2082 | - |
Appears in Collections: | Research publications |
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1-s2.0-S0001870815302358-main.pdf Restricted Access | Published version | 815.06 kB | Adobe PDF | View/Open Request a copy |
1509.03157.pdf | Non Peer-reviewed author version | 524.34 kB | Adobe PDF | View/Open |
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