WebMar 1, 2024 · The cyclic sieving phenomenon Reiner, Stanton and White have observed that the following situation often occurs: one has a combinatorial object , a cyclic group … WebMar 19, 2024 · We prove that is equivalent to the mirror Landau-Ginzburg model of the Grassmannian considered by Eguchi-Hori-Xiong, Marsh-Rietsch and Rietsch-Williams. As an application, we show a cyclic sieving phenomenon involving plane partitions under a sequence of piecewise-linear toggles. Submission history From: Daping Weng [ view …
The cyclic sieving phenomenon — Experts@Minnesota
WebJan 9, 2024 · Definition. The cyclic sieving phenomenon (CSP) was introduced by V. Reiner, D. Stanton and D. White in [ RSW04]. A nice survey by B. Sagan is given in [ … WebOct 1, 2024 · Then there exists an action of a cyclic group C of order n on SST m (λ) such that the triple (SST m (λ), C, q − κ (λ) s λ (1, q, q 2, …, q m − 1)) exhibits the cyclic sieving phenomenon. Remark 3.5. We do not know of an explicit cyclic group action yielding the cyclic sieving phenomenon predicted by Corollary 3.4 in general. nurse led research
q-dimensions of highest weight crystals and cyclic sieving …
WebOct 1, 2024 · Introduction. The cyclic sieving phenomenon was introduced by Reiner–Stanton–White in [21]. Let X be a finite set on which a cyclic group C of order n … WebApr 2, 2024 · Skew characters and cyclic sieving Per Alexandersson, Stephan Pfannerer, Martin Rubey, Joakim Uhlin In 2010, B. Rhoades proved that promotion together with the fake-degree polynomial associated with rectangular standard Young tableaux give an instance of the cyclic sieving phenomenon. WebJul 20, 2024 · We examine a few families of semistandard Young tableaux, for which we observe the cyclic sieving phenomenon under promotion. The first family we consider consists of stretched hook shapes, where we use the cocharge generating polynomial as CSP-polynomial. The second family we consider consists of skew shapes, consisting of … nist fips 140-2 certification