HOCHSCHILD COHOMOLOGY AND FUNDAMENTAL GROUPS OF INCIDENCE ALGEBRAS

DOI10.1081/AGB-100002183zbMath1042.16004MaRDI QIDQ2755384

Maria Andrea Gatica, Maria Julia Redondo

Publication date: 24 March 2002

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

zbMATH Keywords

posetsHochschild cohomology groupsincidence 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)

Related Items

Hochschild cohomology of reduced incidence algebras, On incidence algebras and their representations, Hochschild cohomology of incidence algebras as one-point extensions., Quotients of Incidence Algebras and the Euler Characteristic, ON THE FUNDAMENTAL GROUP OF A SCHURIAN ALGEBRA, Extension modules for triangular algebras., Simply connected incidence algebras., On derived equivalences of categories of sheaves over finite posets, Cohomology of the triangular algebra and applications., Computing the Hochschild Cohomology Groups of Some Families of Incidence Algebras, FUNDAMENTAL GROUPS AND PRESENTATIONS OF ALGEBRAS, Hochschild cohomology of triangular matrix algebras, Algebraic fundamental group and simplicial complexes.

Cites Work

• Simplicial cohomology is Hochschild cohomology
• Rigidity of truncated quiver algebras
• The universal cover of a quiver with relations
• On the Abelian Galois coverings of an algebra
• Relative Hochschild cohomology, rigid algebras, and the Bockstein
• Covering spaces in representation-theory
• Finite dimensional algebras with vanishing Hochschild cohomology
• Completely separating algebras
• Cohomology of incidence algebras and simplicial complexes
• On the cohomology groups of an associative algebra
• On the cohomology of incidence algebras of partially ordered sets
• On Some Classes of Simply Connected Algebras
• The fundamental groups of a triangular algebra
• On the first Hochschild cohomology group of an algebra