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

Abstract

Recently, the R-matrix of the symplecto-orthogonal quantum superalgebra Uq(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 SPOq(2n|2m) and to construct an SPOq(2n|2m)-covariant quantum Weyl superalgebra.

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