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math.QA2010
Affine nil-Hecke algebras and braided differential structure on affine Weyl groups
Anatol N. Kirillov, Toshiaki Maeno
We construct a model of the affine nil-Hecke algebra as a subalgebra of the Nichols-Woronowicz algebra associated to a Yetter-Drinfeld module over the affine Weyl group. We also di…
math.QA2007★ 6 cited
Skew Divided Difference Operators and Schubert Polynomials
Anatol N. Kirillov
We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms…