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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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https://hal.archives-ouvertes.fr/hal-01283858
Contributor : Nicolas Jacon <>
Submitted on : Wednesday, April 27, 2016 - 12:03:06 PM
Last modification on : Thursday, January 30, 2020 - 3:54:05 PM
Document(s) archivé(s) le : Thursday, July 28, 2016 - 10:53:31 AM

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  • HAL Id : hal-01283858, version 3
  • ARXIV : 1603.02220

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Nicolas Jacon, Cédric Lecouvey. Crystal isomorphisms and wall-crossing maps for rational Cherednik algebras. Transformation Groups, Springer Verlag, 2018. ⟨hal-01283858v3⟩

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