Cyclic Sieving for Generalised Non-crossing Partitions Associated with Complex Reflection Groups of Exceptional Type

Christian Krattenthaler () and Thomas W. Müller ()
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Christian Krattenthaler: Universität Wien, Fakultät für Mathematik
Thomas W. Müller: University of London, School of Mathematical Sciences, Queen Mary & Westfield College

A chapter in Advances in Combinatorics, 2013, pp 209-247 from Springer

Abstract: Abstract We prove that the generalised non-crossing partitions associated with well-generated complex reflection groups of exceptional type obey two different cyclic sieving phenomena, as conjectured by Armstrong, and by Bessis and Reiner. The computational details are provided in the manuscript “Cyclic sieving for generalised non-crossing partitions associated with complex reflection groups of exceptional type—the details” [arχiv:1001.0030].

Keywords: Parabolic Subgroup; Coxeter Group; Exceptional Group; Coxeter Element; Coxeter Number (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30979-3_12

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DOI: 10.1007/978-3-642-30979-3_12

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