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Article overview
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Cherednik algebras and Zhelobenko operators | Sergey Khoroshkin
; Maxim Nazarov
; | Date: |
1 May 2016 | Abstract: | We study canonical intertwining operators between modules of the
trigonometric Cherednik algebra, induced from the standard modules of the
degenerate affine Hecke algebra. We show that these operators correspond to the
Zhelobenko operators for the affine Lie algebra $widehat{mathfrak{sl}}_m$. To
establish the correspondence, we use the functor of Arakawa, Suzuki and
Tsuchiya which maps certain $widehat{mathfrak{sl}}_m$-modules to modules of
the Cherednik algebra. | Source: | arXiv, 1605.0229 | Services: | Forum | Review | PDF | Favorites |
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