On ordered k-paths and rims for certain families of Kazhdan–Lusztig cells of Sn

DOI10.1142/S0219498821501814zbMath1476.05204arXiv1909.01403OpenAlexW3034722072MaRDI QIDQ5158055

T. P. McDonough, C. A. Pallikaros

Publication date: 21 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01403

zbMATH Keywords

symmetric groupKazhdan-Lusztig cellreduced form

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (1)

Minimal determining sets for certain $W$-graph ideals

Cites Work

• Primitive ideals and orbital integrals in complex exceptional groups
• Representations of Coxeter groups and Hecke algebras
• An extension of Schensted's theorem
• On embedding certain Kazhdan-Lusztig cells of \(S_n\) into cells of \(S_{n+1}\)
• \(W\)-graph ideals.
• W-graph ideals. II.
• On subsequences and certain elements which determine various cells in \(S_n\)
• On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras.
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Longest Increasing and Decreasing Subsequences
• KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
• ON ROOT SUBSYSTEMS AND INVOLUTIONS INS_n
• Representations of Hecke Algebras of General Linear Groups
• On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in $S_n$
• \(W\)-graph ideals and biideals
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