The Lie algebra structure of the first Hochschild cohomology group for monomial algebras

DOI10.1016/S1631-073X(02)02346-4zbMath1017.16005arXivmath/0111060OpenAlexW2569734871WikidataQ115337244 ScholiaQ115337244MaRDI QIDQ1600157

Claudia Strametz

Publication date: 21 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111060

zbMATH Keywords

Hochschild cohomologymonomial algebrasresolutionsfinite quiversLie algebras of outer derivations

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Structure theory for Lie algebras and superalgebras (17B05) Representations of quivers and partially ordered sets (16G20) Modular Lie (super)algebras (17B50)

Related Items (6)

The universal cover of an algebra without double bypass. ⋮ The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra ⋮ Hochschild cohomology rings of Temperley-Lieb algebras. ⋮ The fundamental group of a triangular algebra without double bypasses. ⋮ Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras ⋮ The cohomology structure of string algebras.

Cites Work

• Unnamed Item
• The alternating syzygy behavior of monomial algebras
• The group of outer automorphisms and the Picard group of an algebra
• The cohomology structure of an associative ring
• The automorphism group and the Picard group of a monomial algebra^*
• THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA
• The first cohomology group of an algebra with coefficients in a bimodule

This page was built for publication: The Lie algebra structure of the first Hochschild cohomology group for monomial algebras