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

Olaf Ermert

Studia Mathematica (1999)

  • Volume: 137, Issue: 1, page 1-31
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Ermert, Olaf. "Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules." Studia Mathematica 137.1 (1999): 1-31. <http://eudml.org/doc/216672>.

@article{Ermert1999,
abstract = {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.},
author = {Ermert, Olaf},
journal = {Studia Mathematica},
keywords = {Banach -bimodule; Hochschild cohomology; smoothly bounded; product domain},
language = {eng},
number = {1},
pages = {1-31},
title = {Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules},
url = {http://eudml.org/doc/216672},
volume = {137},
year = {1999},
}

TY - JOUR
AU - Ermert, Olaf
TI - Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules
JO - Studia Mathematica
PY - 1999
VL - 137
IS - 1
SP - 1
EP - 31
AB - 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.
LA - eng
KW - Banach -bimodule; Hochschild cohomology; smoothly bounded; product domain
UR - http://eudml.org/doc/216672
ER -

References

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