Therefore, more formally, I propose the following definition comprising five axioms that, for me at least, is the least redundant, least cluttered, and which also works for general Lie groups whilst admitting techniques found in references like [Rossmann]. Hereafter we shall consider a group $\left(\G,\bullet\right)$. For shorthand we often write the product of two group […]

10 Apr 2014 No Comments

## Chapter 1: Connected Lie Groups: The Grounding Axioms

Therefore, more formally, I propose the following definition comprising five axioms that, for me at least, is the least redundant, least cluttered, and which also works for general Lie groups whilst admitting techniques found in references like [Rossmann]. Hereafter we shall consider a group $\left(\G,\bullet\right)$. For shorthand we often write the product of two group […]

by Rod Vance in Lie Groups: What They Are, Lie Theory, Part 1: The Local View Tags: Axioms, Connectedness, Continuity, C^1, C^N, Lie Group, Path Differentiability Class