WebSimilar q -supercongruences are established for binomial coefficients and the Apéry numbers, by means of a general criterion involving higher derivatives at roots of unity. Our methods lead us to discover new examples of the cyclic sieving phenomenon, involving the q -Lucas numbers. Keywords: Gauss congruence supercongruence q -analogue We introduce analogues of the lattice of non-crossing set partitions for the … Dans un article paru en 1972, Germain Kreweras fit une étude des partitions … q-analogs of the Catalan numbers C n = (1 (n + 1))(n 2n) are studied from the view … Let B be a partially ordered product of three finite chains. For any group G of … The (type-A) associahedron is a polytope related to polygon dissections which … J. Fulman, P. M. Neumann, and, C. E. Praeger, A generating function … A simple bijection is given between dissections of a convex (n+2)-gon … We consider hooks, hook tableaux, rim hooks, and rim hook tableaux where all …
q$-dimensions of highest weight crystals and cyclic sieving phenomenon ...
WebOct 1, 2004 · The cyclic sieving phenomenon (CSP ) of Reiner-Stanton-White [12] encodes the orbit structure of a cyclic action on a finite set in evaluations of a polynomial at roots of unity; see Section... WebCyclic Sieving? Victor Reiner, Dennis Stanton, and Dennis White Many finite sets in combinatorics have both cyclic symmetry and a natural generating function. Sur … bob furniture discount outlet oxnard
Cyclic sieving - Wikipedia
Webthat exhibits cyclic sieving and a class of subsets of the ASM(n) that exhibit cyclic sieving with gyration and a new set of polynomials. Contents 1. Introduction 1 2. Cyclic Sieving Phenomenon with Rotation 4 3. Cyclic Sieving Phenomenon with Gyration 6 4. The Generalized Symmetric Group 9 5. A Set of ASMs on which Gyration is Well-Behaved 12 6. WebIn combinatorialmathematics, cyclic sievingis a phenomenon by which evaluating a generating functionfor a finite set at roots of unitycounts symmetry classes of objects … WebMar 5, 2024 · Hugh Thomas informed me that he and his collaborators were also thinking about cyclic sieving for minuscule P -partitions. I thank Jim Propp for informing me that he had independently and earlier (around 2016) conjectured the Type A … bob furniture dining sets