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- W2067876857 abstract "Representations of quantum superalgebras provide a natural framework in which to model supersymmetric quantum systems. Each quantum superalgebra, belonging to the class of quasi-triangular Hopf superalgebras, contains a universal R-matrix which automatically satisfies the Yang-Baxter equation. Applying the vector representation pi, which acts on the vector module V, to the left-hand side of a universal R-matrix gives a Lax operator. In this article a Lax operator is constructed for the quantised orthosymplectic superalgebras U (q) [osp(m|n)] for all m > 2, n >= 0 where n is even. This can then be used to find a solution to the Yang-Baxter equation acting on V circle times V circle times W, where W is an arbitrary U (q) [osp(m|n)] module. The case W = V is studied as an example." @default.
- W2067876857 created "2016-06-24" @default.
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- W2067876857 date "2007-05-12" @default.
- W2067876857 modified "2023-09-26" @default.
- W2067876857 title "Lax Operator for the Quantised Orthosymplectic Superalgebra U q [osp(m|n)]" @default.
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- W2067876857 doi "https://doi.org/10.1007/s10468-007-9049-2" @default.
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