李代数表示簇的自守等价性
Automorphic Equivalence in the Varieties of Representations of Lie algebras
摘要：
本文考虑域k上的李代数的各种表示，其特征为0。我们研究了这些簇的表示的几何等价和自守等价之间的关系。我们计算的组，这措施之间的差异的几何等价和自守表示的等价这些品种。在第5节中，我们给出了域k上李代数的所有表示的簇的子簇的一个例子，以及来自这些簇的两个表示，它们是自同构等价的，但不是几何等价的。
英文摘要：
In this paper we consider the very wide class of varieties of representations of Lie algebras over the field k, which has characteristic 0. We study the relation between the geometric equivalence and automorphic equivalence of the representations of these varieties. We calculate the group, which measures the difference between the geometric equivalence and automorphic equivalence of representations of theses varieties. In Section 5, we present one example of the subvariety of the variety of all the representations of the Lie algebras over the field k, and two representations from these variety which are automorphically equivalent but not geometrically equivalent.
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