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Compact Simple Lie Groups and Their $C$-, $S$-, and $E$-Transforms
Symmetry, integrability and geometry: methods and applications, Tome 1 (2005) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: compact simple Lie groups; $C$-, and $E$-transforms; discretization; fundamental region; Weyl group; weight lattice.
Mots-clés : $S$- 
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Jiri Patera. Compact Simple Lie Groups and Their $C$-, $S$-, and $E$-Transforms. Symmetry, integrability and geometry: methods and applications, Tome 1 (2005). http://geodesic.mathdoc.fr/item/SIGMA_2005_1_a24/

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