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RSK bases and Kazhdan-Lusztig cells

K. N. RaghavanPreena SamuelK. V. Subrahmanyam — 2012

Annales de l’institut Fourier

From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, “ RSK bases” are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.

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