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. 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 [ …

A question on a possible 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 … WebJan 23, 2024 · Abstract. In this note, we provide a short proof of Theorem 4.3 in the paper titled Crystals, semistandard tableaux and cyclic sieving phenomenon, by Y.-T. Oh and … hellfire citadel sets hunter normal

The cyclic sieving phenomenon Request PDF - ResearchGate

WebIn many cases, the only known way to prove that a given @-analogue indeed is a cyclic sieving polynomial is to enumerate the number of fixed points of the group action and verify that the evaluation of the polynomial yields the same number. Remark 2. If (-,hdi, 5 (@))exhibits the cyclic sieving phenomenon, then so does d: , 5 (@) WebAug 1, 2024 · The Cyclic Sieving Phenomenon describes the following enumerative situation. One has a finite set X having the action of a cyclic group C = 〈 c 〉 = {1, c, c … WebThe cyclic sieving polynomial is the q-anologue of the hook-content formula for symplectic tableaux. 1. Introduction The cyclic sieving phenomenon (CSP) was introduced by … lake murray sc boat accident