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

In: Advances in Combinatorics

Author

Listed:
  • Christian Krattenthaler

    (Universität Wien, Fakultät für Mathematik)

  • Thomas W. Müller

    (University of London, School of Mathematical Sciences, Queen Mary & Westfield College)

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].

Suggested Citation

  • Christian Krattenthaler & Thomas W. Müller, 2013. "Cyclic Sieving for Generalised Non-crossing Partitions Associated with Complex Reflection Groups of Exceptional Type," Springer Books, in: Ilias S. Kotsireas & Eugene V. Zima (ed.), Advances in Combinatorics, edition 127, pages 209-247, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-30979-3_12
    DOI: 10.1007/978-3-642-30979-3_12
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