1998/11/19 by R. Coquereaux, A. O. Garcia, R. Trinchero
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.QA #msc:16W30 #msc:81R50
published as "Quantum Groups and Fundamental Physical Applications", D. Kastler, M. Rosso and T. Schucker, Eds.; Nova Science Publishers, 1999. · 17 pages, no figures, LaTeX, uses diagrams macro (included). Contribution to the proceedings of the conference "Quantum Groups and Fundamental Physical Applications", I.S.I. Guccia, Palerme, December 1997
arxiv created 1998/11/19 · arxiv updated 2009/11/30
We consider the space M of NxN matrices as a reduced quantum plane and discuss its geometry under the action and coaction of finite dimensional quantum groups (a quotient of Uq(SL(2)), q being an N-th root of unity, and its dual). We also introduce a differential calculus for M: a quotient of the Wess Zumino complex. We shall restrict ourselves to the case N odd and often choose the particular value N=3. The present paper (to appear in the proceedings of the conference "Quantum Groups and Fundamental Physical Applications", Palerme, December 1997) is essentially a short version of math-ph/9807012.