On the Semisimplicity of the Outer Derivations of Monomial Algebras

DOI10.1080/00927872.2010.510815zbMath1268.16012arXiv1004.2820OpenAlexW2023625669MaRDI QIDQ3103918

Selene Sánchez-Flores

Publication date: 19 December 2011

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

Full work available at URL: https://arxiv.org/abs/1004.2820

zbMATH Keywords

Hochschild cohomologymonomial algebrasGerstenhaber bracketsreductive Lie algebrasouter derivationsradical square zero algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

The first Hochschild cohomology as a Lie algebra ⋮ The Lie structure on the Hochschild cohomology of a modular group algebra. ⋮ On the first Hochschild cohomology of admissible algebras.

Cites Work

• Unnamed Item
• The alternating syzygy behavior of monomial algebras
• The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero.
• The cohomology structure of an associative ring
• On the homology of quotients of path algebras
• THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA

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