Hochschild Cohomology of skew group rings and invariants

• Autorzy: E. Marcos , R. Martínez-Villa , Ma. Martins
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hochschild cohomology; skew group ring; Galois covering; 16E40; 16D20; 16S37

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 2
• Strony: 177-190

Daty

wydano

2004-04-01

online

2004-04-01

Twórcy

autor

E. Marcos

• Universidade de São Paulo

autor

R. Martínez-Villa

• UNAM-Campus Morelia

autor

Ma. Martins

• Universidade de São Paulo

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Identyfikatory

DOI

10.2478/BF02476538