Graded Hochschild cohomology of a path algebra with oriented cycles.

DOI10.1007/s10114-014-2661-2zbMath1308.16011OpenAlexW2145111852MaRDI QIDQ741227

Fang Li, De Zhan Tan

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-2661-2

zbMATH Keywords

hereditary algebrasgraded Lie algebraspath algebrasgraded Hochschild cohomologyGabriel quiversoriented cycles

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Graded Lie (super)algebras (17B70) Representations of quivers and partially ordered sets (16G20)

Related Items

Quivers and path semigroups characterized by locality conditions

Cites Work

• Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formula.
• A Künneth formula for the cyclic cohomology of \(\mathbb Z/2\)-graded algebras
• Methods of graded rings.
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Invariance of Hochschild and Cyclic (Co)homology of Superalgebras Under Graded Equivalences
• Cohomology and deformations in graded Lie algebras
• Cohomology and deformations of algebraic structures
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