gl -变种幂的对称- noether性

IF 1 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-09-14 DOI:10.2140/ant.2025.19.2091

Christopher H. Chiu, Alessandro Danelon, Jan Draisma, Rob H. Eggermont, Azhar Farooq

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引用次数: 0

摘要

最近的许多文献都关注具有无限对称群或无限一般线性群作用的无限维代数变的有限性。在本文中，我们研究了两个群的乘积作用于无限维空间的一般推广，并证明了这些空间对于这个作用是拓扑noether的。

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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Sym-Noetherianity for powers of GL-varieties

Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.