Browsing by Author "Lawther, Ross"
Now showing items 1-2 of 2
-
Maximal Abelian Sets of Roots
Lawther, Ross (American Mathematical SocietyMemoirs of the American Mathematical Society, 2017-11)In this work we let Φ be an irreducible root system, with Coxeter group W. We consider subsets of Φ which are abelian, meaning that no two roots in the set have sum in Φ∪{0}. We classify all maximal abelian sets (i.e., ...
-
On eigenvectors for semisimple elements in actions of algebraic groups
Kenneally, Darren John (University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2010-02-09)Let $G$ be a simple simply connected algebraic group defined over an algebraically closed field $K$ and $V$ an irreducible module defined over $K$ on which $G$ acts. Let $E$ denote the set of vectors in $V$ which are ...