11 citations · 13 across the 3 of their papers we have counts for
4 papers
Matching algebras and their Dunkl subalgebras
Darij Grinberg, Anatol Kirillov, Boris Shapiro
For a finite simple graph , we consider the quotient algebra of the polynomial ring in the variables (for ) by the ideal generated by all…
A Matrix Model for Higher-Genus Fuss--Catalan Numbers
Anatol Kirillov, Ivan Kostov
The genus-g Fuss--Catalan (FC) number counts the number of ways to obtain a genus-g surface by identifying the edges of a pn-gon via p-valent hyperedges. For p=2 these are the genu…
Construction of double Grothendieck polynomials of classical types using IdCoxeter algebras
A. N. Kirillov, H. Naruse
We construct double Grothendieck polynomials of classical types which are essentially equivalent to but simpler than the polynomials defined by A.N.Kirillov in arXiv:1504.01469 and…
Combinatorics and Geometry of Higher Level Weyl Modules
B. Feigin, A. N. Kirillov, S. Loktev
A higher level analog of Weyl modules over multi-variable currents is proposed. It is shown that the sum of their dual spaces form a commutative algebra. The structure of these mod…