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Article overview
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Quantum exceptional group $G_2$ and its conjugacy classes | | Alexander Baranov
; Andrey Mudrov
; Vadim Ostapenko
; | | Date: |
8 Sep 2016 | | Abstract: | We construct quantization of semisimple conjugacy classes of the exceptional
group $G=G_2$ along with and by means of their exact representations in highest
weight modules of the quantum group $U_q(mathfrak{g})$. With every point $t$
of a fixed maximal torus we associate a highest weight module $M_t$ over
$U_q(mathfrak{g})$ and realize the quantized polynomial algebra of the class
of $t$ by linear operators on $M_t$. Quantizations corresponding to points of
the same orbit of the Weyl group are isomorphic. | | Source: | arXiv, 1609.2483 | | Services: | Forum | Review | PDF | Favorites | |
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