7 citations · 10 across the 5 of their papers we have counts for
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Exterior differential algebras and flat connections on Weyl groups
Anatol N. Kirillov, Toshiaki Maeno
We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser {\it et al.}, and S. Majid. For any finite Weyl group…
Ubiquity of Kostka polynomials
Anatol N. Kirillov
We report about results revolving around Kostka-Foulkes and parabolic Kostka polynomials and their connections with Representation Theory and Combinatorics. It appears that the set…
New combinatorial formula for modified Hall-Littlewood polynomials
Anatol N. Kirillov
We obtain new combinatorial formulae for modified Hall--Littlewood polynomials, for matrix elements of the transition matrix between the elementary symmetric functions and Hall-Lit…
A generalization of the Kostka-Foulkes polynomials
Anatol N. Kirillov, Mark Shimozono
Combinatorial objects called rigged configurations give rise to q-analogues of certain Littlewood-Richardson coefficients. The Kostka-Foulkes polynomials and two-column Macdonald-K…
t-deformation of quantum Schubert polynomials
Anatol N. Kirillov
We construct a certain solution to the Witten--Dijkgraf--Verlinde--Verlinde equation related to the small quantum cohomology ring of flag variety, and study the t-deformation of qu…