On the Hochschild Cohomology of Triangular Algebras

DOI10.1081/AGB-120023137zbMath1042.16003arXivmath/0112243MaRDI QIDQ4428221

Sophie Dourlens

Publication date: 14 September 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112243

zbMATH Keywords

Hochschild cohomologyquiversspectral sequencestriangular algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Vector and tensor algebra, theory of invariants (15A72) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Simplicial cohomology is Hochschild cohomology
• Relative Hochschild cohomology, rigid algebras, and the Bockstein
• Hochschild cohomology of triangular matrix algebras
• On the hochschild cohomology of finite dimensional algebras
• Hochschild cohomology of truncated quiver algebras^*
• The first cohomology group of an algebra with coefficients in a bimodule
• On the first Hochschild cohomology group of an algebra

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