矩阵元组的u不变量域

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2023-03-31 DOI:10.13001/ela.2023.7355

A. Panov

引用次数: 0

摘要

一般线性群$\mathrm｛GL｝（n）$通过伴随作用作用于$\mathrm{Mat｝（n）$的$m$个副本的直和。$\mathrm｛GL｝（n）$的作用诱导了酉三角形子群$U$的作用。我们给出了$U$-不变量域的自由生成元系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fields of U-invariants of matrix tuples

The general linear group $\mathrm{GL}(n)$ acts on the direct sum of $m$ copies of $\mathrm{Mat}(n)$ by the adjoint action. The action of $\mathrm{GL}(n)$ induces the action of the unitriangular subgroup $U$. We present the system of free generators of the field of $U$-invariants.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.