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math.CO2005
Around matrix-tree theorem
Yurii Burman, Boris Shapiro
Generalizing the classical matrix-tree theorem we provide a formula counting subgraphs of a given graph with a fixed 2-core. We use this generalization to obtain an analog of the m…
math.RT2005
Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras
Arkady Berenstein, Yurii Burman
We introduce and study deformations of finite-dimensional modules over rational Cherednik algebras. Our main tool is a generalization of usual harmonic polynomials for Coxeter grou…