Four-Weight Spin Models and Jones Pairs

Abstract

We introduce and discuss Jones pairs. These provide a generalization and a new approach to the four-weight spin models of Bannai and Bannai. We show that each four-weight spin model determines a ``dual'' pair of association schemes.

Cited by in corpus (5)

• Distance-regular graphs
• Equiangular lines, mutually unbiased bases, and spin models
• Commutative association schemes
• The $S_3$-symmetric tridiagonal algebra
• Bose-Mesner Algebras attached to Invertible Jones Pairs