Mark Reeder

activity

20132021

collaborators

3 papers

math.RT2021

Thomae's function on a Lie group

Mark Reeder

Let $g$ be a simple complex Lie algebra of finite dimension. This paper gives an inequality relating the order of an automorphism of $g$ to the dimension of its…

math.RT2019

Weyl group characters afforded by zero weight spaces

Mark Reeder

Let $G$ be a simple complex Lie group with Weyl group $W$ . We give a formula for the character of $W$ on the zero weight space of any finite dimensional representation of $G$ . The…

math.RT2013

Gradings of positive rank on simple Lie algebras

Mark Reeder, Paul Levy, Jiu-Kang Yu +1

We complete the classification of positive rank gradings on Lie algebras of simple algebraic groups over an algebraically closed field k whose characteristic is zero or not too sma…