Affine cellularity of affine Hecke algebras of rank two.

DOI10.1007/s00209-011-0868-9zbMath1254.20007arXiv1011.2010OpenAlexW2021858501MaRDI QIDQ431289

Vanessa Miemietz, Jérémie Guilhot

Publication date: 26 June 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2010

zbMATH Keywords

cellular algebrascellularityKazhdan-Lusztig cellsaffine Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of orders, lattices, algebras over commutative rings (16G30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (6)

Affine cellularity of affine Yokonuma-Hecke algebras ⋮ Cellularity of the lowest two-sided ideal of an affine Hecke algebra. ⋮ Affine cellular algebras. ⋮ Affine cellularity of BLN algebras ⋮ Ring theoretical properties of affine cellular algebras ⋮ Affine cellularity of affine 𝑞-Schur algebras

Cites Work

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• Affine cellular algebras.
• Generalized induction of Kazhdan-Lusztig cells.
• Homological algebra for affine Hecke algebras.
• Hecke algebras and Jantzen's generic decomposition patterns
• Cellular algebras
• Hecke algebras of finite type are cellular.
• Semicontinuity properties of Kazhdan-Lusztig cells
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters
• Kazhdan-Lusztig Cells in Affine Weyl Groups of Rank 2

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