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Volumn 39, Issue 7, 1998, Pages 3828-3843

A Poincaré-Birkhoff-Witt theorem for generalized Lie color algebras

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EID: 0032381687     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532471     Document Type: Article
Times cited : (4)

References (15)
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    • D. Gurevich, "The Yang-Baxter equation and a generalization of formal Lie theory," Sov. Math. Dokl. 33, 758-762 (1986).
    • (1986) Sov. Math. Dokl. , vol.33 , pp. 758-762
    • Gurevich, D.1
  • 3
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation Theory
    • Springer-Verlag, New York
    • J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics 9 (Springer-Verlag, New York, 1994).
    • (1994) Graduate Texts in Mathematics , vol.9
    • Humphreys, J.E.1
  • 4
    • 0002780902 scopus 로고
    • The Theory of Lie Superalgebras
    • Springer-Verlag, Berlin
    • M. Scheunert, The Theory of Lie Superalgebras, Lecture Notes in Mathematics Vol. 716 (Springer-Verlag, Berlin, 1979).
    • (1979) Lecture Notes in Mathematics , vol.716
    • Scheunert, M.1
  • 5
    • 36749119887 scopus 로고
    • Generalized Lie algebras
    • M. Scheunert, "Generalized Lie algebras," J. Math. Phys. 20, 712-720 (1979).
    • (1979) J. Math. Phys. , vol.20 , pp. 712-720
    • Scheunert, M.1
  • 6
    • 0000545097 scopus 로고
    • Quantum and braided Lie algebras
    • S. Majid, "Quantum and braided Lie algebras," J. Geom. Phys. 13, 307-356 (1994).
    • (1994) J. Geom. Phys. , vol.13 , pp. 307-356
    • Majid, S.1
  • 12
    • 0000516756 scopus 로고
    • Non-standard quantum deformations of GL(n) and constant solutions of the Yang-Baxter equation
    • E. E. Demidov, Yu. I. Manin, E. E. Mukhin, D. V. Zhdanovich, "Non-standard quantum deformations of GL(n) and constant solutions of the Yang-Baxter equation," Prog Theor. Phys. Suppl. 102, 203-218 (1990).
    • (1990) Prog Theor. Phys. Suppl. , vol.102 , pp. 203-218
    • Demidov, E.E.1    Manin, Yu.I.2    Mukhin, E.E.3    Zhdanovich, D.V.4
  • 13
    • 0039304738 scopus 로고
    • preprint 93-062, sfb343, Diskrete Strukturen der Mathematik, U. Bielefeld
    • C. M. Ringel, "PBW - Bases of quantum groups," preprint 93-062, sfb343, Diskrete Strukturen der Mathematik, U. Bielefeld, 1993.
    • (1993) PBW - Bases of Quantum Groups
    • Ringel, C.M.1
  • 14
    • 0000694495 scopus 로고
    • Matrix-element bialgebras determined by quadratic coordinate algebras
    • A. Sudbery, "Matrix-element bialgebras determined by quadratic coordinate algebras," J. Alg. 158, 375-399 (1993).
    • (1993) J. Alg. , vol.158 , pp. 375-399
    • Sudbery, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.