Factorization of Kazhdan-Lusztig elements for Grassmanians
Alexander Kirillov,, Alain Lascoux
Abstract
We show that the Kazhdan-Lusztig basis elements Cw of the Hecke algebra of the symmetric group, when w ∈ Sn corresponds to a Schubert subvariety of a Grassmann variety, can be written as a product of factors of the form Ti+fj(v), where fj are rational functions.
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