Title
Hopf algebra actions on differential graded algebras and applicationsHopf algebra actions on differential graded algebras and applications
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Research group
Fundamental Mathematics
Publication type
article
Publication
Brussels,
Subject
Mathematics
Source (journal)
Bulletin of the Belgian Mathematical Society Simon Stevin. - Brussels, 1994, currens
Volume/pages
18(2011):1, p. 99-111
ISSN
1370-1444
ISI
000289222500008
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
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.
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