Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules

• Autorzy: Olaf Ermert
• Języki publikacji: EN

Abstrakty

EN

We compute the algebraic and continuous Hochschild cohomology groups of certain Fréchet algebras of analytic functions on a domain U in $ℂ^n$ with coefficients in one-dimensional bimodules. Among the algebras considered, we focus on A=A(U). For this algebra, our results apply if U is smoothly bounded and strictly pseudoconvex, or if U is a product domain.

Kategorie tematyczne

• 32A10: Holomorphic functions
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 137
• Numer: 1
• Strony: 1-31

Daty

wydano

1999

otrzymano

1997-02-26

poprawiono

1999-08-13

Twórcy

autor

Olaf Ermert

• School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.

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