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Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$ (2411.04432v1)
Published 7 Nov 2024 in math.RT and math.CO
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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