Strong factorization theorem for smooth vectors of exponential solvable Lie group representations
Representation Theory
2026-04-24 v1 Functional Analysis
Abstract
We establish new strong factorization properties for the smooth vectors of representations of exponential solvable Lie groups on Fr\'{e}chet spaces. In particular, our results improve upon the Dixmier-Malliavin factorization theorem for simply connected nilpotent Lie groups.
Cite
@article{arxiv.2604.20998,
title = {Strong factorization theorem for smooth vectors of exponential solvable Lie group representations},
author = {Santiago Chaves and Andreas Debrouwere and Alberto Hernández Alvarado and Jasson Vindas and Rafael Zamora},
journal= {arXiv preprint arXiv:2604.20998},
year = {2026}
}
Comments
16 pages