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Title
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Hopf algebra actions on differential graded algebras and applications
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Bulletin of the Belgian Mathematical Society Simon Stevin. - Brussels, 1994, currens
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Publication
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Brussels
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2011
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ISSN
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1370-1444
[print]
2034-1970
[online]
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DOI
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10.36045/BBMS/1299766491
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Volume/pages
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18
:1
(2011)
, p. 99-111
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ISI
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000289222500008
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Full text (Publisher's DOI)
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