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arXiv · 1410.6493

R-matrix and Mickelsson algebras for orthosymplectic quantum groups

Thomas Ashton·Andrey Mudrov
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Abstract

Let $\g$ be a complex orthogonal or symplectic Lie algebra and $\g'\subset \g$ the Lie subalgebra of rank $\rk \g'=\rk \g-1$ of the same type. We give an explicit construction of generators of the Mickelsson algebra $Z_q(\g,\g')$ in terms of Chevalley generators via the R-matrix of $U_q(\g)$.

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Thomas Ashton, Andrey Mudrov. 2014-10-23. R-matrix and Mickelsson algebras for orthosymplectic quantum groups. https://doi.org/10.1063/1.4927582

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