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Rational Cherednik algebras of $G(ell,p,n)$ from the Coulomb perspective | | Elise LePage
; Ben Webster
; | | Date: |
29 Nov 2019 | | Abstract: | We prove a number of results on the structure and representation theory of
the rational Cherednik algebra of the imprimitive reflection group
$G(ell,p,n)$. In particular, we: (1) show a relationship to the Coulomb branch
construction of Braverman, Finkelberg and Nakajima, and 3-dimensional quantum
field theory; (2) show that the spherical Cherednik algebra carries the
structure of a principal Galois order; (3) construct a graded lift of category
$mathcal{O}$ and the larger category of Dunkl-Opdam modules, whose simple
modules have the properties of a dual canonical basis and (4) give the first
classification of simple Dunkl-Opdam modules for the rational Cherednik algebra
of the imprimitive reflection group $G(ell,p,n)$. | | Source: | arXiv, 1912.0046 | | Services: | Forum | Review | PDF | Favorites | |
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