ON ROOT SUBSYSTEMS AND INVOLUTIONS INSn
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Publication:3564619
DOI10.1017/S0017089510000054zbMath1213.20004MaRDI QIDQ3564619
No author found.
Publication date: 26 May 2010
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
symmetric groupsCoxeter groupsYoung subgroupsKazhdan-Lusztig cellsleft cellsRobinson-Schensted-Knuth correspondencetwo-sided cellsright cellssubsystems of root systemsstandard parabolic involutions
Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetric groups (20B30)
Related Items (3)
On double cosets with the trivial intersection property and Kazhdan-Lusztig cells in $S_n$ ⋮ On embedding certain Kazhdan-Lusztig cells of \(S_n\) into cells of \(S_{n+1}\) ⋮ On ordered k-paths and rims for certain families of Kazhdan–Lusztig cells of Sn
Uses Software
Cites Work
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- Representations of Coxeter groups and Hecke algebras
- An extension of Schensted's theorem
- Specht series for skew representations of symmetric groups
- On subsequences and certain elements which determine various cells in \(S_n\)
- Semisimple subalgebras of semisimple Lie algebras
- Conjugacy classes of involutions in Coxeter groups
- KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
- Representations of Hecke Algebras of General Linear Groups
- La correspondance de Robinson
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