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arXiv · 2411.04432

Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$

Ali Haidar·Oded Yacobi
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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.

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BibTeXRIS

Ali Haidar, Oded Yacobi. 2024-11-07. Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$. https://arxiv.org/abs/2411.04432

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