Jaeger's Higman-Sims state model and the B_2 spider

Details Jaeger's Higman-Sims state model and the B_2 spider Jaeger's Higman-Sims state model and the B_2 spider

1996-01-22

arxiv.org/abs/math/9601221v1

J. Algebra 195 (1997), no. 2, 487-500

Mathematics

Quantum Algebra

Scientific paper

Jaeger [Geom. Dedicata 44 (1992), 23-52] discovered a remarkable
checkerboard state model based on the Higman-Sims graph that yields a value of
the Kauffman polynomial, which is a quantum invariant of links. We present a
simple argument that the state model has the desired properties using the
combinatorial $B_2$ spider [Comm. Math. Phys. 180 (1996), 109-151].

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