R-matrix Approach to Quantum Superalgebras su_{q}(m|n)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages

Scientific paper

10.1063/1.529866

Quantum superalgebras $su_{q}(m\mid n)$ are studied in the framework of
$R$-matrix formalism. Explicit parametrization of $L^{(+)}$ and $L^{(-)}$
matrices in terms of $su_{q}(m\mid n)$ generators are presented. We also show
that quantum deformation of nonsimple superalgebra $su(n\mid n)$ requires its
extension to $u(n\mid n)$.

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