CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Lie algebras and invariant forms Richard Green, CU
February 7, 2012 Math 350 2-3pm	Abstract There are remarkable invariant cubic and quartic forms associated with the simple Lie algebras of types $E_6$ and $E_7$, respectively. I will explain what this means, and how these invariant forms may be understood in terms of Coxeter groups and the combinatorics of minuscule representations.

Lie algebras and invariant forms

Richard Green, CU

February 7, 2012

Math 350

2-3pm

Abstract

There are remarkable invariant cubic and quartic forms associated with the simple Lie algebras of types $E_6$ and $E_7$, respectively. I will explain what this means, and how these invariant forms may be understood in terms of Coxeter groups and the combinatorics of minuscule representations.