Affiliation:
1. Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Abstract
Let ℱ denote an algebraically closed field with a characteristic not two. Fix an integer d≥3; let x, y, and z be the equitable basis of sl2 over ℱ. Let V denote an irreducible sl2-module with dimension d+1; let A∈EndV. In this paper, we show that if each of the pairs A,x, A,y, and A,z acts on V as a Leonard pair, then these pairs are of Krawtchouk type. Moreover, A is a linear combination of 1, x, y, and z.
Subject
Mathematics (miscellaneous)
Cited by
1 articles.
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