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Please use this identifier to cite or link to this item: 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
Citation: 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.
URI: http://hdl.handle.net/1942/11887
ISI #: 000289222500008
ISSN: 1370-1444
Category: A1
Type: Journal Contribution
Validation: ecoom, 2012
Appears in Collections: Research publications

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