Séminaire Lotharingien de Combinatoire, 93B.113 (2025), 12 pp.
Ali Haidar and Oded Yacobi
Relations between Generalised Gelfand-Tsetlin and Kazhdan-Lusztig Bases of Sn
Abstract.
We prove that the Kazhdan-Lusztig basis of Specht modules is upper triangular with respect to all generalized Gelfand-Tsetlin bases constructed from any multiplicity-free tower of standard parabolic subgroups.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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