Rigidity of truncated quiver algebras

DOI10.1016/0001-8708(90)90057-TzbMath0703.16009MaRDI QIDQ915836

Claude Cibils

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hochschild cohomologyrigidityspectral sequencespath algebrafinite dimensional algebraHochschild cohomology grouptruncated quiver algebrasm-vanishing conditionsone-parameter family of deformations

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80)

Related Items (36)

The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra ⋮ The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero. ⋮ The alternating syzygy behavior of monomial algebras ⋮ Morita invariance for infinitesimal deformations ⋮ Cyclic and Hochschild homology of 2-nilpotent algebras ⋮ Quantum group actions, twisting elements, and deformations of algebras. ⋮ Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A 1 ⋮ THE FIRST COHOMOLOGY GROUP OF THE TRIVIAL EXTENSION OF A MONOMIAL ALGEBRA ⋮ An equality on Hochschild homology groups ⋮ Hochschild cohomology rings of tame Hecke algebras. ⋮ Gerstenhaber structure on Hochschild cohomology of toupie algebras ⋮ A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket ⋮ Hochschild cohomology of truncated basic cycle ⋮ Cyclic homology of truncated quiver algebras. ⋮ The first Hochschild cohomology as a Lie algebra ⋮ Jacobi–Zariski long nearly exact sequences for associative algebras ⋮ On the first Hochschild cohomology of admissible algebras. ⋮ Rigid monomial algebras ⋮ Hochschild cohomology of special biserial algebras. ⋮ Rigid quivers and rigid algebras. ⋮ HOCHSCHILD COHOMOLOGY AND FUNDAMENTAL GROUPS OF INCIDENCE ALGEBRAS ⋮ On the classification and properties of noncommutative duplicates. ⋮ Hochschild cohomology rings of \(d\)-Koszul algebras. ⋮ Hochschild cohomology of truncated quiver algebras. ⋮ Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras. ⋮ Hochschild cohomology rings of Temperley-Lieb algebras. ⋮ Tate-Hochschild cohomology of radical square zero algebras ⋮ Koszul calculus of preprojective algebras ⋮ \(L_{\infty}\)-structure on Bardzell's complex for monomial algebras ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of tame Hecke algebras of type \(\mathbf{A}\) ⋮ The decategorification of bordered Khovanov homology ⋮ Hochschild (co)homology of Galois coverings of Grassmann algebras. ⋮ Split bounded extension algebras and Han's conjecture ⋮ Skew Derivations and Deformations of a Family of Group Crossed Products ⋮ Hochschild (Co)homology of Exterior Algebras ⋮ Hochschild cohomology of truncated quiver algebras^*

Cites Work

• Relative Hochschild cohomology, rigid algebras, and the Bockstein
• On the deformation of rings and algebras
• On the cohomology groups of an associative algebra
• Algebras and Quadratic Forms
• 2-Nilpotent and Rigid Finite Dimensional Algebras
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