Affine nil-Hecke algebras and braided differential structure on affine Weyl groups

Details Affine nil-Hecke algebras and braided differential structure on affine Weyl groups Affine nil-Hecke algebras and braided differential structure on affine Weyl groups

2010-08-21

arxiv.org/abs/1008.3593v1

Mathematics

Quantum Algebra

Scientific paper

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 discuss the Peterson isomorphism between the
homology of the affine Grassmannian and the small quantum cohomology ring of
the flag variety in terms of the braided differential calculus.

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