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Lie elements in the group algebra
Yurii M. Burman
Given a representation V of a group G, there are two natural ways of defining a representation of the group algebra k[G] in the external power V^{\wedge m}. The set L(V) of element…
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…