The relation \(\mathop{\leqslant}\limits_{\mathrm{LR}}\) on some elements of the affine Weyl group \(\tilde{C}_n\)

DOI10.1016/J.JALGEBRA.2017.01.024zbMath1395.20025OpenAlexW2585902876MaRDI QIDQ2400330

Jian-yi Shi

Publication date: 28 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.01.024

zbMATH Keywords

partitionaffine Weyl groupleft celltwo-sided celliterating star operations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Ordered groups (group-theoretic aspects) (20F60)

Cites Work

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• Cells in affine Weyl groups. II
• Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
• A counter-example to a conjecture of Lusztig.
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• Left cells in the affine Weyl group of type \(\widetilde C_4\)
• Some results relating two presentations of certain affine Weyl groups

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