1995/06/30 by Harold Steinacker · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum and Classical Electrodynamics #hep-th #math.QA #q-alg
paper · pdf · doi:10.1063/1.531658
15 pages, Latex, citations and reference added, minor typos corrected
arxiv created 1995/08/04 · openalex publication_date 1996/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Invariant integrals of functions and forms over q-deformed Euclidean space and spheres in N dimensions are defined and shown to be positive definite, compatible with the star structure and to satisfy a cyclic property involving the D matrix of SOq(N). The definition is based on spherical and radial integration. Stokes theorem is proved with and without spherical boundary terms, as well as on the sphere.