Adapted pairs and Weierstrass sections
Representation Theory
2015-03-10 v1
Abstract
Adapted pairs and Weierstrass sections are central to the invariant theory associated to the action of an algebraic Lie algebra a on a finite dimensional vector space X. In this a need not be a semisimple Lie algebra. Here their general properties are described particularly when a is the canonical truncation of a biparabolic subalgebra of a simple Lie algebra and X is the dual of a.
Cite
@article{arxiv.1503.02523,
title = {Adapted pairs and Weierstrass sections},
author = {Florence Fauquant-Millet and Anthony Joseph},
journal= {arXiv preprint arXiv:1503.02523},
year = {2015}
}
Comments
This short paper is essentially part (see Section 10) of arXiv:1306.0529 "Adapted pairs in type A and regular nilpotent elements" posted on arXiv in June 2013