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An Introduction to Lie Groups and Lie Algebras, with Applications. III: Computational Methods and Applications of Representation Theory

1969; Society for Industrial and Applied Mathematics; Volume: 11; Issue: 4 Linguagem: Inglês

10.1137/1011087

1095-7200

Johan G. F. Belinfante, Bernard Kolman,

Algebraic structures and combinatorial models

Previous article Next article An Introduction to Lie Groups and Lie Algebras, with Applications. III: Computational Methods and Applications of Representation TheoryJ. G. Belinfante and B. KolmanJ. G. Belinfante and B. Kolmanhttps://doi.org/10.1137/1011087PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. K. Agrawala and , J. G. Belinfante, Graphical formulation of recoupling theory for any compact group, Ann. Physics., 49 (1968), 130–170 10.1016/0003-4916(68)90187-5 0159.31801 CrossrefISIGoogle Scholar[1A] C. M. Andersen, Clebsch-Gordan series for symmetrized tensor products, J. Mathematical Phys., 8 (1967), 988–997 10.1063/1.1705333 MR0218486 0162.58402 CrossrefISIGoogle Scholar[2] J.-P. Antoine, Représentations irréductibles du groupe ${\rm SU}\sb{3}$, Ann. Soc. Sci. Bruxelles Sér. I, 77 (1963), 150–162 MR0166306 0115.25604 Google Scholar[3] J.-P. Antoine and , D. Speiser, Characters of irreducible representations of the simple groups. I. 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Zichichi, Symmetries in Elementary Particle Physics, Academic Press, New York, 1965 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Graphical tensor product reduction scheme for the Lie algebras so(5)=sp(2) , su(3) , and g(2)Annals of Physics, Vol. 371 | 1 Aug 2016 Cross Ref Lie algebras of Lie groups, Kac-Moody groups, supergroups, and some specialized topics in finite- and infinite-dimensional Lie algebrasIntroduction to Finite and Infinite Dimensional Lie (Super)algebras | 1 Jan 2016 Cross Ref BibliographyIntroduction to Finite and Infinite Dimensional Lie (Super)algebras | 1 Jan 2016 Cross Ref INTEGER CLEBSCH-GORDAN COEFFICIENTS FOR LIE ALGEBRA REPRESENTATIONSComputers in Nonassociative Rings and Algebras | 1 Jan 1977 Cross Ref Lie groups and homogeneous spacesJournal of Soviet Mathematics, Vol. 4, No. 5 | 1 Nov 1975 Cross Ref Computer Approaches to the Representations of Lie AlgebrasJournal of the ACM, Vol. 19, No. 4 | 1 Oct 1972 Cross Ref Generation of the Weyl group on a computerJournal of Computational Physics, Vol. 7, No. 2 | 1 Apr 1971 Cross Ref Bootstrap Models and a Special Property of the Unitary Lie AlgebrasPhysical Review D, Vol. 3, No. 4 | 15 February 1971 Cross Ref THE PAPERSMathematical Software | 1 Jan 1971 Cross Ref Weight diagrams for lie group representations: A computer implementation of Freudenthal's algorithm in ALGOL and FORTRANBIT, Vol. 9, No. 4 | 1 Dec 1969 Cross Ref Volume 11, Issue 4| 1969SIAM Review429-672 History Submitted:30 January 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011087Article page range:pp. 510-543ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics