Hochschild Cohomology of skew group rings and invariants
E. Marcos ; R. Martínez-Villa ; Ma. Martins
Open Mathematics, Tome 2 (2004), p. 177-190 / Harvested from The Polish Digital Mathematics Library
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Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH ⊙ (A) and that there is a monomorphism of rings HH ⊙ (A) G→HH ⊙ (A[G]). That allows us to show the existence of a monomorphism from HH ⊙ (Ã) G into HH ⊙ (A), where à is a Galois covering with group G.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:268925 
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     title = {Hochschild Cohomology of skew group rings and invariants},
     journal = {Open Mathematics},
     volume = {2},
     year = {2004},
     pages = {177-190},
     zbl = {1071.16004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02476538}
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E. Marcos; R. Martínez-Villa; Ma. Martins. Hochschild Cohomology of skew group rings and invariants. Open Mathematics, Tome 2 (2004) pp. 177-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02476538/

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