SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS

DOI10.1017/S1446788716000392zbMath1403.17016arXiv1507.07676MaRDI QIDQ4591201

Catharina Stroppel, Henning Haahr Andersen, Daniel Tubbenhauer

Publication date: 13 November 2017

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

Full work available at URL: https://arxiv.org/abs/1507.07676

zbMATH Keywords

quantum groupssemisimplicity(quantum) tilting modulesHecke and Brauer algebrasJantzen's sum formulas

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (12)

Simple modules for Temperley-Lieb algebras and related algebras ⋮ Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality ⋮ Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ Higher Jones algebras and their simple modules ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ Monoidal categories, representation gap and cryptography ⋮ Handlebody diagram algebras ⋮ Spin chains as modules over the affine Temperley-Lieb algebra ⋮ Webs and $q$-Howe dualities in types $\mathbf {BCD}$ ⋮ Quivers for 𝑆𝐿₂ tilting modules ⋮ On geometrically defined extensions of the Temperley-Lieb category in the Brauer category

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