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Lax Operator for the Quantised Orthosymplectic Superalgebra U_q[osp(2|n)]

Abstract

Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a \textit{universal RR-matrix} in the tensor product algebra which satisfies the Yang-Baxter equation. Applying the vector representation π\pi, which acts on the vector module VV, to one side of a universal RR-matrix gives a Lax operator. In this paper a Lax operator is constructed for the CC-type quantum superalgebras Uq[osp(2∣n)]U_q[osp(2|n)]. This can in turn be used to find a solution to the Yang-Baxter equation acting on V⊗V⊗WV \otimes V \otimes W where WW is an arbitrary Uq[osp(2∣n)]U_q[osp(2|n)] module. The case W=VW=V is included here as an example.Comment: 15 page

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    Last time updated on 02/01/2020