Braided central elements
نویسنده
چکیده
We present and study two families of polynomials with coefficients in the center of the universal enveloping algebra. These polynomials are analogues of a determinant and a characteristic polynomial of a certain non-commutative matrix, labeled by irreducible representations of gl n (C). The matrix is an image of the universal R-matrix of a Yangian of gl n (C) under certain representation. We compute the polynomials explicitly for gl 2 (C) and establish connections between the first family of polynomials and higher Capelli identities through some sort of plethysm.
منابع مشابه
Braided Elements in Coxeter Groups , Ii
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