We compute the algebraic and continuous Hochschild cohomology groups of certain Fréchet algebras of analytic functions on a domain U in 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.
@article{bwmeta1.element.bwnjournal-article-smv137i1p1bwm,
author = {Olaf Ermert},
title = {Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {1-31},
zbl = {0955.46042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv137i1p1bwm}
}
Ermert, Olaf. Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules. Studia Mathematica, Tome 133 (1999) pp. 1-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i1p1bwm/
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