Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type \(\widetilde A_n\).

DOI10.1007/s11425-010-4041-4zbMath1225.20003arXiv0909.3394OpenAlexW2060978884MaRDI QIDQ625817

Nanhua Xi, Leonard L. Scott

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3394

zbMATH Keywords

affine Weyl groupsCoxeter groupsKazhdan-Lusztig polynomialsextended affine Hecke algebrastwo-sided cellsfirst extension groupsKazhdan-Lusztig coefficients

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) Cohomology theory for linear algebraic groups (20G10)

Related Items

Reduced standard modules and cohomology ⋮ The leading coefficients for an affine Weyl group of type \(\widetilde{G_2}\): the lowest two-sided cell case ⋮ Bounding Ext for modules for algebraic groups, finite groups and quantum groups. ⋮ Computing individual Kazhdan-Lusztig basis elements. ⋮ Cohomological growth rates and Kazhdan-Lusztig polynomials. ⋮ Kazhdan-Lusztig coefficients for an affine Weyl group of type \(\widetilde B_2\).

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