Affine Nil-Hecke Algebras and Braided Differential Structure on Affine Weyl Groups

作者:Kirillov Anatol N*; Maeno Toshiaki
来源:Publications of the Research Institute for Mathematical Sciences, 2012, 48(1): 215-228.
DOI:10.2977/PRIMS/67

摘要

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.

  • 出版日期2012-3