Compact Simple Lie Groups and Their C-, S-, and E-Transforms
Mathematical Physics
2008-04-24 v1 Group Theory
math.MP
Abstract
New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank . Rank 1 transforms are known. Rank 2 exposition of - and -transforms is in the literature. The -transforms appear here for the first time.
Cite
@article{arxiv.math-ph/0512029,
title = {Compact Simple Lie Groups and Their C-, S-, and E-Transforms},
author = {Jiri Patera},
journal= {arXiv preprint arXiv:math-ph/0512029},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/