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Journal Articles Transformation Groups Year : 2018

Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras

Abstract

We show that the wall crossing bijections between simples of the category O of the rational Cherednik algebras reduce to particular crystal isomorphisms which can be computed by a simple combinatorial procedure on multipartitions of fixed rank.
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Dates and versions

hal-01283858 , version 1 (07-03-2016)
hal-01283858 , version 2 (25-03-2016)
hal-01283858 , version 3 (27-04-2016)

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Nicolas Jacon, Cédric Lecouvey. Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras. Transformation Groups, 2018, 23, pp.101-117. ⟨10.1007/s00031-016-9402-9⟩. ⟨hal-01283858v3⟩
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