Chebyshev polynomials on symmetric matrices

DOI10.1016/j.laa.2010.12.034zbMath1218.33009arXiv1010.3873OpenAlexW1976146221MaRDI QIDQ2431163

Karin Erdmann, Sibylle Schroll

Publication date: 11 April 2011

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

Full work available at URL: https://arxiv.org/abs/1010.3873

zbMATH Keywords

Chebyshev polynomialsprojective resolutionssymmetric algebrassymmetric matricesDynkin diagrams

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrix equations and identities (15A24) Deformations of singularities (14B07) Homological methods in associative algebras (16E99)

Related Items (3)

EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO ⋮ Simple transitive 2-representations of small quotients of Soergel bimodules ⋮ Momenta of Coxeter transformations

Cites Work

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• Resolutions over symmetric algebras with radical cube zero.
• Schur-Weyl duality for infinitesimal \(q\)-Schur algebras \(s_q(2,r)_1\).
• Periodic algebras which are almost Koszul.
• The representation theory of cyclotomic Temperley-Lieb algebras.
• Cellular algebras
• Tensor products and dimensions of simple modules for symmetric groups
• The product of the generators of a finite group generated by reflections
• Auslander–Reiten sequences, locally free sheaves and Chebysheff polynomials

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