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Representations of quantum conjugacy classes of orthosymplectic groups | | Thomas Ashton
; Andrey Mudrov
; | | Date: |
9 Feb 2015 | | Abstract: | Let $G$ be the complex symplectic or special orthogonal group and $g$ its
Lie algebra. With every point $x$ of the maximal torus $Tsubset G$ we
associate a highest weight module $M_x$ over the Drinfeld-Jimbo quantum group
$U_q(g)$ and a quantization of the conjugacy class of $x$ by operators in
$End(M_x)$. These quantizations are isomorphic for $x$ lying on the same orbit
of the Weyl group, and $M_x$ support different representations of the same
quantum conjugacy class. | | Source: | arXiv, 1502.2392 | | Services: | Forum | Review | PDF | Favorites | |
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