Noetherianity up to conjugation of locally diagonal inverse limits

Bik, Arthur (2019). Noetherianity up to conjugation of locally diagonal inverse limits. Linear algebra and its applications, 582, pp. 237-290. Elsevier 10.1016/j.laa.2019.07.039

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We prove that the inverse limit of the sequence dual to a sequence of Lie algebras is Noetherian up to the action of the direct limit of the corresponding sequence of classical algebraic groups when the sequence of groups consists of diagonal embeddings. We also classify all conjugation-stable closed subsets of the space of N x N matrices.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Bik, Michel Arthur

Subjects:

500 Science > 510 Mathematics

ISSN:

0024-3795

Publisher:

Elsevier

Language:

English

Submitter:

Michel Arthur Bik

Date Deposited:

02 Sep 2019 09:09

Last Modified:

24 Oct 2019 11:37

Publisher DOI:

10.1016/j.laa.2019.07.039

ArXiv ID:

1802.10337

BORIS DOI:

10.7892/boris.132802

URI:

https://boris.unibe.ch/id/eprint/132802

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