Lie derivation and Hochschild cohomology of an extension of path algebras

DOI10.1080/03081087.2016.1221377zbMath1361.16004OpenAlexW2507687430WikidataQ115299568 ScholiaQ115299568MaRDI QIDQ2979481

Bo Hou

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1221377

zbMATH Keywords

Lie derivationHochschild (co)homologygeneralized one-point extension

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of associative Artinian rings (16G10) Derivations, actions of Lie algebras (16W25)

Cites Work

• Semi-centralizing maps of generalized matrix algebras
• The alternating syzygy behavior of monomial algebras
• On the deformation of rings and algebras
• Lie derivations of primitive rings
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Lie Derivations of Triangular Algebras
• The Hochschild Cohomology Ring of a Group Algebra
• Support varieties and Hochschild cohomology rings
• The strong degree of von Neumann algebras and the structure of Lie and Jordan derivations
• The fundamental groups of a triangular algebra
• Lie derivations of dual extensions of algebras
• THE HOCHSCHILD COHOMOLOGY RING MODULO NILPOTENCE OF A MONOMIAL ALGEBRA
• HOCHSCHILD (CO)HOMOLOGY DIMENSION

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