Formulas for primitive idempotents in Frobenius algebras and an application to decomposition maps

DOI10.1090/S1088-4165-08-00326-9zbMath1213.16011arXiv0803.0534MaRDI QIDQ3614509

Sarah Scherotzke, Max Neunhöffer

Publication date: 9 March 2009

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0534

zbMATH Keywords

Coxeter groupsprojective indecomposable modulessimple modulesprimitive idempotentsGrothendieck groupssymmetric algebrasFrobenius algebrasexplicit formulaIwahori-Hecke algebrasJames conjecturedecomposition mapsFrobenius-Schur relations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of orders, lattices, algebras over commutative rings (16G30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of associative Artinian rings (16G10)

Related Items (1)

Representations of copointed Hopf algebras arising from the tetrahedron rack.

Cites Work

• Adjustment matrices for weight three blocks of Iwahori-Hecke algebras.
• Kazhdan-Lusztig basis, Wedderburn decomposition, and Lusztig's homomorphism for Iwahori-Hecke algebras.
• On Frobeniusean algebras. I
• Brauer trees of hecke algebras
• Filtrations in Rouquier Blocks of Symmetric Groups and Schur Algebras
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Hecke Algebras with Unequal Parameters
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