activity
20032007
most citedNoncommutative algebras related with Schubert calculus on Coxeter groups

2 citations · 2 across the 6 of their papers we have counts for

collaborators
Showing 2007Show all

3 papers · 1 filter

math.QA2007

Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties

Anatol N. Kirillov, Toshiaki Maeno

For the root system of type we introduce and study a certain extension of the quadratic algebra invented by S. Fomin and the first author, to construct a model for the equivari…

math.QA2007

Braided differential structure on Weyl groups, quadratic algebras and elliptic functions

Anatol N. Kirillov, Toshiaki Maeno

We discuss a class of generalized divided difference operators which give rise to a representation of Nichols-Woronowicz algebras associated to Weyl groups. For the root system of…

math.QA2007

Nichols-Woronowicz model of coinvariant algebra of complex reflection groups

Anatol N. Kirillov, Toshiaki Maeno

We give a model of the coinvariant algebra of the complex reflection groups as a subalgebra of a braided Hopf algebra called Nichols-Woronowicz algebra.