3-弦辫群的大多数不可约表示
Most irreducible representations of the 3-string braid group
摘要：
由于3-弦辫群B（3）和模群PSL（2，Z）都是野表示型的，所以不能期望对它们的有限维单表示进行完全分类.尽管如此，人们仍然可以通过为簇iss（n，B（3））的每个d维不可约分量X构造具有Zebriki稠密像的显式极小有理映射A^d --> X来描述“大多数”不可约表示，对B（3）的半单n维表示的同构类进行分类。当n < 12时，在\cite{arXiv:1003.1610v1}中得到了所有分量的有理稠密参数化.本文的目的是建立这样的参数化的所有有限维n。
英文摘要：
As the 3-string braid group B(3) and the modular group PSL(2,Z) are both of wild representation type one cannot expect a full classification of all their finite dimensional simple representations. Still, one can aim to describe 'most' irreducible representations by constructing for each d-dimensional irreducible component X of the variety iss(n,B(3)) classifying the isomorphism classes of semi-simple n-dimensional representations of B(3) an explicit minimal etale rational map A^d --> X having a Zariski dense image. Such rational dense parametrizations were obtained for all components when n < 12 in \cite{arXiv:1003.1610v1}. The aim of the present paper is to establish such parametrizations for all finite dimensions n.
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。
