Spin representations of real reflection groups of non-crystallographic root systems

Details Spin representations of real reflection groups of non-crystallographic root systems Spin representations of real reflection groups of non-crystallographic root systems

2012-04-12

arxiv.org/abs/1204.2785v1

Mathematics

Representation Theory

22 pages

Scientific paper

A uniform parametrization for the irreducible spin representations of Weyl groups in terms of nilpotent orbits is recently achevied by Ciubotaru in \cite{Ci}. This paper is a generalization of this result to other real reflection groups. Let $(V_0, R, V_0^{\vee}, R^{\vee})$ be a root system with the real reflection group $W$. We define points in $V_0^{\vee}$ which, in the case $R$ crystallographic, correspond to the nilpotent orbits whose elements have a solvable centralizer in the corresponding Lie algebra. Then a connection between the irreducible spin representations of $W$ and those points in $V_0^{\vee}$ is established.

Affiliated with

Also associated with

No associations

Rating

Spin representations of real reflection groups of non-crystallographic root systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spin representations of real reflection groups of non-crystallographic root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin representations of real reflection groups of non-crystallographic root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313142