Matrix Concomitants with the Mixed Tensor Model
Matrix Concomitants with the Mixed Tensor Model
复制标题
混合张量模型的矩阵伴随
DOI：
10.1006/aima.1993.1028
复制
发表时间：
1993
影响因子：
1.7
通讯作者：
R. Brylinski
中科院分区：
文献类型：
--
作者：
R. Brylinski
设G是特征为0的代数闭域K上的约化代数群。设G作用于K上的仿射代数簇X，“X”表示G-簇。然后，坐标环K[X]自然成为有理G-代数。作为G的表示，X上G-轨道的几何和KIX的分解紧密地联系在一起。例如，G在X上有唯一的闭轨道当且仅当常数是X上唯一的G-不变函数。事实上，不变量环的仿射模型，即(最大)谱
Let G be a reductive algebraic group over an algebraically closed field K of characteristic 0. Assume G acts on an affine algebraic variety X over K; let „X denote the G-variety. The coordinate ring K [X] then becomes naturally a rational G-algebra. The geometry of G-orbits on X and the decomposition of KIX] as a representation of G are closely tied together. For instance, G has a unique closed orbit on X if and only if the constants are the only G-invariant functions on X. In fact, the affine model of the ring of invariants, ie, the (maximal) spectrum