Kazhdan-Lusztig Basis and a Geometric Filtration of an Affine Hecke Algebra

DOI10.1017/S0027763000026908zbMath1165.20003arXivmath/0411304MaRDI QIDQ5442826

Nanhua Xi, Toshiyuki Tanisaki

Publication date: 22 February 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411304

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig basesaffine Weyl groupsreductive algebraic groupsnilpotent orbitstwo-sided cells

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (3)

The Steinberg variety and representations of reductive groups. ⋮ Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. II. ⋮ Affine cellularity of quantum affine algebras: an appendix to ``Affine cellularity of BLN-algebras by Weideng Cui

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