A tale of two $q$-deformations : connecting dual polar spaces and weighted hypercubes
Combinatorics
2024-09-18 v1 Mathematical Physics
math.MP
Abstract
Two -analogs of the hypercube graph are introduced and shown to be related through a graph quotient. The roles of the subspace lattice graph, of a twisted primitive elements of and of the dual -Krawtchouk polynomials are elaborated upon. This paper is dedicated to Tom Koornwinder.
Keywords
Cite
@article{arxiv.2409.11243,
title = {A tale of two $q$-deformations : connecting dual polar spaces and weighted hypercubes},
author = {Pierre-Antoine Bernard and Étienne Poliquin and Luc Vinet},
journal= {arXiv preprint arXiv:2409.11243},
year = {2024}
}
Comments
12 pages