1994/01/28 by F. M"uller-Hoissen, M"uller-Hoissen, F.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Spectral Theory in Mathematical Physics #advanced mathematical theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9401152
contribution to the proceedings of the International Symposium ``Generalized Symmetries in Physics'' (ASI Clausthal 1993), 12 pages, LaTeX, GOET-TP 97/93
arxiv created 1994/01/28 · openalex publication_date 1994/01/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For 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.