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arxiv: math/0004033 · v2 · submitted 2000-04-06 · 🧮 math.QA

The quantum supergroup SPO_q(2n|2m) and an SPO_q(2n|2m)-covariant quantum Weyl superalgebra

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keywords quantumsuperalgebracovariantr-matrixsupergroupweylbeencalculated
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Recently, the R-matrix of the symplecto-orthogonal quantum superalgebra U_q(spo(2n|2m)) in the vector representation has been calculated. In the present work, this R-matrix is used to introduce the corresponding quantum supergroup SPO_q(2n|2m) and to construct an SPO_q(2n|2m)-covariant quantum Weyl superalgebra.

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