Association schemes obtained from the action of the general unitary group on isotropic vectors

2024/07/30 by Nathaniel Robert Benjamin, Benjamin, Nathaniel, Sung‐Yell Song +1
Mathematics · Computer Science · Engineering · #Differential Equations and Boundary Problems #Matrix Theory and Algorithms #Material Science and Thermodynamics

paper · pdf · doi:10.48550/arxiv.2407.20517

Abstract

An infinite family of association schemes obtained from the general unitary groups acting transitively on the sets of isotropic vectors in the finite unitary spaces are investigated. We compute the parameters and determine the character tables for all nontrivial commutative association schemes belonging to this family.

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