Cyclic sieving of finite Grassmannians and flag varieties

Details Cyclic sieving of finite Grassmannians and flag varieties Cyclic sieving of finite Grassmannians and flag varieties

2011-06-09

arxiv.org/abs/1106.1928v1

Mathematics

Combinatorics

18 pages

Scientific paper

10.1016/j.disc.2011.10.015

In this paper we prove instances of the cyclic sieving phenomenon for finite Grassmannians and partial flag varieties, which carry the action of various tori in the finite general linear group GL_n(F_q). The polynomials involved are sums of certain weights of the minimal length parabolic coset representatives of the symmetric group S_n, where the weight of a coset representative can be written as a product over its inversions.

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