Racah matrices for the symmetric representation of the SO(5) group
Abstract
Approaches to calculate SU(N) colored knot invariants (HOMFLY-PT polynomials) are well and widely developed. However, SO(N) case is mostly forgotten. With this paper we want to start the discusion of how to generalize Reshetikhin-Turaev approach to the SO(2n+1) case and which difficutlies arise in this discussion. We provide R and Racah matrices for the symmetric representation of the SO(5) group and show how to find the corresponding Kauffmann polynomials.
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