The leading coefficients for an affine Weyl group of type \(\widetilde{G_2}\): the lowest two-sided cell case

DOI10.1155/2021/5905276zbMath1477.20084OpenAlexW3186794144MaRDI QIDQ2666152

Pengfei Guo, Zhu-Jun Zheng

Publication date: 22 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5905276

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)

Cites Work

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• Kazhdan-Lusztig coefficients for an affine Weyl group of type \(\widetilde B_2\).
• Cells in affine Weyl groups. II
• Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type \(\widetilde A_n\).
• Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements.
• Leading coefficients of Kazhdan-Lusztig polynomials for Deodhar elements.
• Hecke algebras and Jantzen's generic decomposition patterns
• Representations of Coxeter groups and Hecke algebras
• The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group \({\mathfrak S}_n\).
• Kac-Moody groups, their flag varieties and representation theory
• Some new examples in 1-cohomology
• A Two-Sided Cell in an Affine Weyl Group
• A Two-Sided Cell in an Affine Weyl Group, II

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