2000•arXiv (Cornell University)Open access

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

Manfred Scheunert

Abstract

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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Key concepts: Supergroup, Covariant transformation, Superalgebra, Quantum, Supermatrix, Pure mathematics, Mathematics, Physics