From: "J. Mayer" <jm@hadiko.de>
Subject: Re: What are Borel subgroups?
Date: Mon, 14 Jun 1999 16:49:55 +0200
Newsgroups: sci.math

Florian Dufey schrieb:

> Can anyone give me a definition, what a Borel subgroup is?

A subgroup B of linear algebraic group G (or of a Lie group) is a Borel
subgroup if it  is a closed, connected, solvable, maximal subgroup. It
has several nice properties: B is conjugate to every other Borel
subgroup and B is a B Borel subgroup iff B solvable and G/B is a
projective variety.

Jan