Differential Calculi on Quantum (Sub-) Groups and Their Classical Limit

dc.creatorM"uller-Hoissen, F.
dc.date1994-01-28
dc.date.accessioned2026-07-07T04:19:59Z
dc.date.available2026-07-07T04:19:59Z
dc.descriptionFor the two-parameter matrix quantum group GLp,q(2) all bicovariant differential calculi (with a four-dimensional space of 1-forms) are known. They form a one-parameter family. Here, we give an improved presentation of previous results by using a different parametrization. We also discuss different ways to obtain bicovariant calculi on the quantum subgroup SLq(2). For those calculi, we do not obtain the ordinary differential calculus on SL(2) in the classical limit. The structure which emerges here can be generalized to a nonstandard differential calculus on an arbitrary differentiable manifold and exhibits relations with stochastic calculus and `proper time' relativistic quantum theories.
dc.descriptioncontribution to the proceedings of the International Symposium ``Generalized Symmetries in Physics'' (ASI Clausthal 1993), 12 pages, LaTeX, GOET-TP 97/93
dc.identifierhttps://arxiv.org/abs/hep-th/9401152
dc.identifierhttp://arxiv.org/abs/hep-th/9401152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53797
dc.subjectHigh Energy Physics - Theory
dc.titleDifferential Calculi on Quantum (Sub-) Groups and Their Classical Limit
dc.typetext

Files

Collections