Hochschild Cohomology of skew group rings and invariants

Hochschild Cohomology of skew group rings and invariants

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 coveri...

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Veröffentlicht in:Central European journal of mathematics 2004-04, Vol.2 (2), p.177-190
Hauptverfasser: Marcos, E., Martínez-Villa, R., Martins, Ma
Format: Artikel
Sprache:eng
Schlagworte:
16D20
16E40
16S37
Galois covering
Hochschild cohomology
Homology
Rings (mathematics)
skew group ring
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Zusammenfassung: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.
ISSN:1895-1074
2391-5455
1644-3616
DOI:10.2478/BF02476538