SU（2）-格点规范模型轨道型层的定义关系
Defining relations for the orbit type strata of SU(2)-lattice gauge models
摘要：
本文考虑树规范中的SU（2）格点规范模型。经典上，这是一个具有对称性的系统，其配置空间是SU（2）的副本的直积，并受到对角内自同构的作用。我们推导出定义关系的轨道型地层在约化的经典相空间。后者被实现为复化群SL（2，\CC）的副本的直积的某个商（有时被称为GIT商，因为它提供了几何不变理论意义上的范畴商）。导出的关系式可用于构造Huebschmann意义下量子系统Hilbert空间的轨道型余分层。
英文摘要：
We consider an SU(2)-lattice gauge model in the tree gauge. Classically, this is a system with symmetries whose configuration space is a direct product of copies of SU(2), acted upon by diagonal inner automorphisms. We derive defining relations for the orbit type strata in the reduced classical phase space. The latter is realized as a certain quotient of a direct product of copies of the complexified group SL(2,\CC) (sometimes named the GIT-quotient because it provides a categorical quotient in the sense of geometric invariant theory). The relations derived can be used for the construction of the orbit type costratification of the Hilbert space of the quantum system in the sense of Huebschmann.
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