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A PROOF OF THE KAZHDAN-LUSZTIG PURITY THEOREM VIA THE DECOMPOSITION THEOREM OF BBD
KAZHDAN-LUSZTIG DECOMPOSITION
2015/9/29
The ˉrst ingredient is quite deep, and we will not say anything much about its
proof, using it simply as a \black box". The second ingredient is elementary, and
we take this opportunity to present a...
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
Kazhdan-Lusztig R-polynomial inversion formula Bruhat order
2014/6/3
In this paper, we present a combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials. This problem was raised by Brenti. As a consequence, we obtain a combinatorial interpreta...
Kazhdan-Lusztig basis for generic Specht modules
Hecke algebra Coxeter group Kazhdan-Lusztig bases Specht module
2011/1/20
In this paper, we let H be the Hecke algebra associated with a finite Coxeter group W and with one-parameter, over the ring of scalars A = Z(q, q−1). With an elementary method, we introduce a ce...
Mask formulas for cograssmannian Kazhdan-Lusztig polynomials
Mask formulas cograssmannian Kazhdan-Lusztig polynomials
2010/11/11
We give two contructions of sets of masks on cograssmannian permutations that can be used in Deodhar's formula for Kazhdan-Lusztig basis elements of the Iwahori-Hecke algebra. The constructions are re...
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
Diagrammatic Kazhdan-Lusztig theory Brauer algebra
2010/12/9
We determine the decomposition numbers for the Brauer and walled Brauer algebra in haracteristic zero in terms of certain polynomials associated to cap and curl diagrams (recovering a result of Martin...