Geometry of the reduced quantum plane

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dc.creatorCoquereaux, R.
dc.creatorGarcia, A. O.
dc.creatorTrinchero, R.
dc.date1998-11-19
dc.date.accessioned2026-07-07T04:32:36Z
dc.date.available2026-07-07T04:32:36Z
dc.descriptionWe 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.
dc.description17 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
dc.identifierhttps://arxiv.org/abs/math-ph/9811017
dc.identifierhttp://arxiv.org/abs/math-ph/9811017
dc.identifier"Quantum Groups and Fundamental Physical Applications", D. Kastler, M. Rosso and T. Schucker, Eds.; Nova Science Publishers, 1999.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58247
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject16W30, 81R50
dc.titleGeometry of the reduced quantum plane
dc.typetext

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