Geometry of the reduced quantum plane
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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 U_q(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.
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
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