A tale of two q-deformations : connecting dual polar spaces and weighted hypercubes
Abstract
Two q-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 Uq(su(2)) and of the dual q-Krawtchouk polynomials are elaborated upon. This paper is dedicated to Tom Koornwinder.
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