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
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

Show full item record

WEB OF SCIENCETM
Citations

11
checked on May 14, 2022

Page view(s)

46
checked on May 18, 2022

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.