The Calogero-moser Partition for Wreath Products

نویسنده

  • MAURIZIO MARTINO
چکیده

Let W be the wreath product of a symmetric group with a cyclic group of order l. The corresponding restricted rational Cherednik algebra is a finite dimensional algebra whose block structure has a combinatorial description in terms of J-hearts. We show that this description is equivalent to one given in terms of residues of multipartitions. This establishes links with Rouquier families for the associated cyclotomic Hecke algebra and deformed higher level Fock spaces.

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تاریخ انتشار 2009