The quantum supergroup SPO_q(2n|2m) and an SPO_q(2n|2m)-covariant quantum Weyl superalgebra
Quantum Algebra
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0004033,
title = {The quantum supergroup SPO_q(2n|2m) and an SPO_q(2n|2m)-covariant quantum Weyl superalgebra},
author = {M. Scheunert},
journal= {arXiv preprint arXiv:math/0004033},
year = {2007}
}
Comments
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