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http://hdl.handle.net/1942/11887
Title: | Hopf algebra actions on differential graded algebras and applications | Authors: | He, Ji-Wei Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2011 | Publisher: | BELGIAN MATHEMATICAL SOC TRIOMPHE | Source: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 18(1). p. 99-111 | Abstract: | Let H be a finite dimensional semisimple Hopf algebra, A a differential graded (dg for short) H-module algebra. Then the smash product algebra A#H is a dg algebra. For any dg A#H-module M, there is a quasi-isomorphism of dg algebras: RHom(A) (M, M)#H -> RHom(A#H)(M circle times H, M circle times H). This result is applied to d-Koszul algebras, Calabi-Yau algebras and AS-Gorenstein dg algebras. | Notes: | [He, Ji-Wei] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China. [He, Ji-Wei; Van Oystaeyen, Fred] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium. [Zhang, Yinhuo] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. | Keywords: | differential graded algebra; smash product; Yoneda algebra | Document URI: | http://hdl.handle.net/1942/11887 | ISSN: | 1370-1444 | e-ISSN: | 2034-1970 | ISI #: | 000289222500008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2012 |
Appears in Collections: | Research publications |
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