Noetherianity up to conjugation of locally diagonal inverse limits
Abstract
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 conjugationstable closed subsets of the space of $\mathbb{N}\times\mathbb{N}$ matrices.
 Publication:

arXiv eprints
 Pub Date:
 February 2018
 arXiv:
 arXiv:1802.10337
 Bibcode:
 2018arXiv180210337B
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Representation Theory;
 13E99;
 14L30;
 17B45
 EPrint:
 43 pages, final revision