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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 025, 6 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.025 (Mi sigma25) 		 
This article is cited in 25 scientific papers (total in 25 papers)

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

Jiri Patera

Centre de Recherches Mathématiques, Université de Montréal, C.P.6128-Centre ville, Montréal, H3C 3J7, Québec, Canada
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DOI: https://doi.org/10.3842/SIGMA.2005.025
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 $2\leq n<\infty$. 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; $C$-, $S$-, and $E$-transforms; discretization; fundamental region; Weyl group; weight lattice.
Received: December 1, 2005; Published online December 9, 2005
Bibliographic databases:
Document Type: Article
MSC: 22E46; 33C80; 43A80; 94A08
Language: English
Citation: Jiri Patera, “Compact Simple Lie Groups and Their $C$-, $S$-, and $E$-Transforms”, SIGMA, 1 (2005), 025, 6 pp.
Citation in format AMSBIB
\Bibitem{Pat05}
\by Jiri Patera
\paper Compact Simple Lie Groups and Their $C$-, $S$-, and $E$-Transforms
\jour SIGMA
\yr 2005
\vol 1
\papernumber 025
\totalpages 6
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\crossref{https://doi.org/10.3842/SIGMA.2005.025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169848}
\zmath{https://zbmath.org/?q=an:1091.43002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600025}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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