Hecke algebras, 𝑈_{𝑞}𝑠𝑙_{𝑛}, and the Donald-Flanigan conjecture for 𝑆_{𝑛}

DOI10.1090/S0002-9947-97-01761-3zbMath0914.20012arXivq-alg/9502016OpenAlexW1515233177WikidataQ123183711 ScholiaQ123183711MaRDI QIDQ4372549

Murray Gerstenhaber, Mary Elizabeth Schaps

Publication date: 16 December 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9502016

zbMATH Keywords

Hecke algebrassymmetric groupsfinite groupsrepresentationsquantum groupsdeformationsquantizationblocksintegral group ringsDonald-Flanigan conjectureMaschke's theorem

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Deformations of associative rings (16S80)

Related Items (3)

A separable deformation of the quaternion group algebra ⋮ The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic setting ⋮ Separable deformations of the generalized quaternion group algebras

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