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Volumn 39, Issue 10, 1998, Pages 5601-5607

Invariant tensors and Casimir operators for simple compact Lie groups

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EID: 0032356666     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532552     Document Type: Article
Times cited : (19)

References (15)
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  • 2
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    • Sulla caratterizzazione della rappresentazioni irreducibili del gruppi semisimplici di lie
    • G. Racah, Sulla caratterizzazione della rappresentazioni irreducibili del gruppi semisimplici di Lie," Lincei-Rend. Sc. fis. mat. e nat. VIII, 108-112 (1950).
    • (1950) Lincei-Rend. Sc. Fis. Mat. e Nat. , vol.8 , pp. 108-112
    • Racah, G.1
  • 3
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    • The center of an infinitesimal group ring
    • (english transl.: Los Alamos Sci. Lab. AEC-TR-6133 (1963)), Princeton Lectures, CERN-61-8 Springer-Verlag, Berlin, reprinted in Ergeb. Exact Naturwiss. 37, 28-84, 1965
    • I. M. Gel'fand, "The center of an infinitesimal group ring" (english transl.: Los Alamos Sci. Lab. AEC-TR-6133 (1963)), Math. Sbornik. 26, 103-112, Princeton Lectures, CERN-61-8 (Springer-Verlag, Berlin, 1950); reprinted in Ergeb. Exact Naturwiss. 37, 28-84, 1965).
    • (1950) Math. Sbornik. , vol.26 , pp. 103-112
    • Gel'fand, I.M.1
  • 4
    • 0010022937 scopus 로고
    • On the representations of the semisimple Lie groups I
    • L. C. Biedenharn, "On the representations of the semisimple Lie groups I," J. Math. Phys. 4, 436-445 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 436-445
    • Biedenharn, L.C.1
  • 5
    • 0010022936 scopus 로고
    • Invariant operators of the unimodular group in n dimensions
    • A. Klein, "Invariant operators of the unimodular group in n dimensions," J. Math. Phys. 4, 1283-1284 (1963).
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    • Klein, A.1
  • 6
    • 0001108979 scopus 로고
    • Casimir operators for semisimple groups
    • A. M. Perelomov and V. S. Popov, "Casimir operators for semisimple groups," Math. USSR-Izvestija 2, 1313-1335 (1968).
    • (1968) Math. USSR-Izvestija , vol.2 , pp. 1313-1335
    • Perelomov, A.M.1    Popov, V.S.2
  • 7
    • 0010024432 scopus 로고
    • General indices of representations and Casimir invariants
    • S. Okubo and J. Patera, "General indices of representations and Casimir invariants," J. Math. Phys. 25, 219-227 (1983).
    • (1983) J. Math. Phys. , vol.25 , pp. 219-227
    • Okubo, S.1    Patera, J.2
  • 8
    • 33644909814 scopus 로고
    • Modified fourth-order Casimir invariants and indices for simple Lie algebras
    • S. Okubo, "Modified fourth-order Casimir invariants and indices for simple Lie algebras," J. Math. Phys. 23, 8-20 (1982).
    • (1982) J. Math. Phys. , vol.23 , pp. 8-20
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  • 12
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    • Ph.D. thesis, Cambridge Univ.
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    • (1970)
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  • 13
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    • Computer-friendly d-tensor identities for SU(n)
    • A. Sudbery, Ph.D. thesis, Cambridge Univ., 1970; "Computer-friendly d-tensor identities for SU(n)," J. Phys. A 23, L705-L710 (1990).
    • (1990) J. Phys. A , vol.23
  • 15
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    • Casimir invariants and vector operators in simple and classical Lie algebras
    • S. Okubo, "Casimir invariants and vector operators in simple and classical Lie algebras," J. Math. Phys. 18, 2382-1294 (1977).
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    • Okubo, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.