Annals of Combinatorics

, Volume 15, Issue 2, pp 197–222

Cyclic Sieving of Noncrossing Partitions for Complex Reflection Groups

Article

DOI: 10.1007/s00026-011-0090-9

Cite this article as:
Bessis, D. & Reiner, V. Ann. Comb. (2011) 15: 197. doi:10.1007/s00026-011-0090-9

Abstract

We prove an instance of the cyclic sieving phenomenon, occurring in the context of noncrossing parititions for well-generated complex reflection groups.

Mathematics Subject Classification

20F55 51F15 

Keywords

complex reflection group unitary reflection group noncrossing partition cyclic sieving phenomenon rational Cherednik algebra 

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.1DMA - École normale supérieureParis cedex 05France
  2. 2.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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