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math.QA1998
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…
math.QA1998
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…
math.QA1998
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…