Compact Simple Lie Groups and Their C-, S-, and E-Transforms

Details Compact Simple Lie Groups and Their C-, S-, and E-Transforms Compact Simple Lie Groups and Their C-, S-, and E-Transforms

2005-12-09

arxiv.org/abs/math-ph/0512029v1

SIGMA 1 (2005), 025, 6 pages

Physics

Mathematical Physics

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.025

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 $2\leq n<\infty$. Rank 1 transforms are
known. Rank 2 exposition of $C$- and $S$-transforms is in the literature. The
$E$-transforms appear here for the first time.

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