Geometry of the reduced quantum plane
Coquereaux, R. ; Garcia, A. O. ; Trinchero, R.
arXiv, 9811017 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-11-19
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  16W30, 81R50 
@article{9811017,
     author = {Coquereaux, R. and Garcia, A. O. and Trinchero, R.},
     title = {Geometry of the reduced quantum plane},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811017}
}

Coquereaux, R.; Garcia, A. O.; Trinchero, R. Geometry of the reduced quantum plane. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811017/