The quantum supergroup SPO_q(2n|2m) and an SPO_q(2n|2m)-covariant quantum Weyl superalgebra
arXiv:math/0004033
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.
36 pages, no figures, Latex2e, uses package amssymb. In the revised version, the Discussion (Section 7) has been extended to include comments and conjectures on how SPO_q(2n|2m) should be interpreted, and some related small changes have been made in Sections 5 and 6