The trace of the Coxeter matrix and Hochschild cohomology

DOI10.1016/S0024-3795(96)00195-4zbMath0894.16006OpenAlexW2043189590MaRDI QIDQ1359184

Dieter Happel

Publication date: 7 September 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00195-4

zbMATH Keywords

Cartan matricesglobal dimensionHochschild cohomology groupsEuler-Poincaré characteristicenveloping algebrasCoxeter matricesindecomposable projective right modulesfinite-dimensional basic algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (20)

On the coefficients of the Coxeter polynomial of an accessible algebra. ⋮ A categorification of the Vandermonde determinant ⋮ Some remarks on the Lehmer conjecture ⋮ Hirzebruch-Riemann-Roch and Lefschetz type formulas for finite dimensional algebras ⋮ On the trace of the Coxeter polynomial of an algebra ⋮ Nakayama algebras and Fuchsian singularities ⋮ Piecewise hereditary Nakayama algebras. ⋮ Periodicity in bilinear lattices and the Coxeter formalism ⋮ On tensor products of path algebras of type \(A\). ⋮ On the Mahler measure of the Coxeter polynomial of an algebra. ⋮ On the Mahler measure of the Coxeter polynomial of tensor products of algebras. ⋮ Bounds related to Coxeter spectral measures of graphs ⋮ Momenta of Coxeter transformations ⋮ Coxeter energy of graphs ⋮ Tubes in derived categories and cyclotomic factors of the Coxeter polynomial of an algebra. ⋮ The Coxeter polynomial for a one point extension algebra. ⋮ Combinatorial classification of piecewise hereditary algebras ⋮ Hochschild cohomology of noncommutative planes and quadrics ⋮ Hochschild cohomology related to graded down-up algebras with weights (1,n) ⋮ Elementary Superalgebras

Cites Work

• Tame algebras and integral quadratic forms
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