The GL-module structure of the Hochschild homology of truncated tensor algebras.

DOI10.1016/j.jpaa.2004.02.006zbMath1060.16007OpenAlexW2075869460MaRDI QIDQ1877752

Paulo Tirao, Leandro Cagliero, Guillermo Ames

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.02.006

zbMATH Keywords

tensor algebrasHochschild homologysimple modulesGL-modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Connections of group theory with homological algebra and category theory (20J99)

Related Items

Hochschild cohomology rings of \(d\)-Koszul algebras.

Cites Work

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• The alternating syzygy behavior of monomial algebras
• A free Lie algebra as a module over the full linear group
• The Hochschild Homology of Truncated and Quadratic Monomial Algebras