1995/10/21 by Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #hep-th #math.QA #q-alg
paper · pdf · doi:10.1007/s002880050233
published as Z.Phys. C72 (1996) 163-170 · 24 pages
arxiv created 1995/10/21 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The quantum deformation CPq(N) of complex projective space is discussed. Many of the features present in the case of the quantum sphere can be extended. The differential and integral calculus is studied and CPq(N) appears as a quantum Kähler manifold. The braiding of several copies of CPq(N) is introduced and the anharmonic ratios of four collinear points are shown to be invariant under quantum projective transformations. They provide the building blocks of all projective invariants. The Poisson limit is also described.