Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras
arXiv:1603.03901 · doi:10.1016/j.aim.2017.03.004
Abstract
We prove that cyclotomic Yokonuma--Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras. The quiver we use is given by disjoint copies of cyclic quivers. We relate this work to an isomorphism of Lusztig.
v2: 45 pages, 3 figures; we made slight changes of notation and added a 6th section. v3: some minor changes (mainly 6.1.2). Final version. v4: some typos
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Cited by in corpus (6)
- Fusion procedure for Yokonuma-Hecke algebras
- An isomorphism theorem for degenerate cyclotomic Yokonuma-Hecke algebras and applications
- DG-Enhanced Hecke and KLR Algebras
- Calibrated representations of affine Yokonuma-Hecke algebras
- Categorical actions and derived equivalences for finite odd-dimensional orthogonal groups
- Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras