约化量子平面的几何
Geometry of the reduced quantum plane
摘要：
本文把N × N矩阵空间M看作约化量子平面，讨论了它在有限维量子群（U_q（SL（2））的商，q是N次单位根，它的对偶）的作用和共同作用下的几何.我们还介绍了微分M：商的Wess Zumino复杂。我们将把自己限制在N为奇数的情况下，并且经常选择特定的值N=3。本文件（出现在会议的议事录“量子群和基本的物理应用”，Palerme，1997年12月）基本上是一个简短的版本math-ph/9807012。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
