Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules
Studia Mathematica, Tome 137 (1999) no. 1, pp. 1-31
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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.
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author = {Olaf Ermert},
title = {Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules},
journal = {Studia Mathematica},
pages = {1--31},
publisher = {mathdoc},
volume = {137},
number = {1},
year = {1999},
doi = {10.4064/sm-137-1-1-31},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-137-1-1-31/}
}
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Olaf Ermert. Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules. Studia Mathematica, Tome 137 (1999) no. 1, pp. 1-31. doi: 10.4064/sm-137-1-1-31
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