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Volumn 21, Issue 3, 1996, Pages 337-349

Construction of finitely presented Lie algebras and superalgebras

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[No Author keywords available]

Indexed keywords


EID: 0030100197     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1996.0016     Document Type: Article
Times cited : (12)

References (22)
  • 1
    • 0002826996 scopus 로고
    • Construction of a Lie algebra by a subset of generators and commutation relations
    • eds. D.V. Shirkov, V.A. Rostovtsev and V.P. Gerdt, World Scientific Publ.Co., Singapore
    • Akselrod, I.R., Gerdt, V.P., Kovtun, V.E., Robuk, V.N. (1991). Construction of a Lie Algebra by a Subset of Generators and Commutation Relations, in Computer Algebra, in Physical Research, eds. D.V. Shirkov, V.A. Rostovtsev and V.P. Gerdt, World Scientific Publ.Co., Singapore, pp. 306-312.
    • (1991) Computer Algebra in Physical Research , pp. 306-312
    • Akselrod, I.R.1    Gerdt, V.P.2    Kovtun, V.E.3    Robuk, V.N.4
  • 4
    • 0002803133 scopus 로고
    • Gröbner bases: An algorithmic method in polynomial ideal theory
    • ed. N.K. Bose, (D. Reidel)
    • Buchberger, B. (1985). Gröbner bases: an algorithmic method in polynomial ideal theory, in Recent Trends in Multidimensional System Theory, ed. N.K. Bose, (D. Reidel), pp. 184-232.
    • (1985) Recent Trends in Multidimensional System Theory , pp. 184-232
    • Buchberger, B.1
  • 6
    • 85029972025 scopus 로고    scopus 로고
    • Involutive polynomial bases
    • Publication IT-95-271, LIFL USTL, Lille, Submitted
    • Gerdt, V.P., Blinkov, Yu. A. (1996). Involutive Polynomial Bases, Publication IT-95-271, LIFL USTL, Lille, Submitted to J. Symb. Comp..
    • (1996) J. Symb. Comp.
    • Gerdt, V.P.1    Blinkov, Yu.A.2
  • 7
    • 0011636395 scopus 로고    scopus 로고
    • On construction of finitely presented Lie algebras
    • Preprint JINR E5-94-302, Dubna. In press
    • Gerdt, V.P., Robuk, V.N., Severyanov V.M. (1996). On Construction of Finitely Presented Lie Algebras. Preprint JINR E5-94-302, Dubna. Comput. Maths. & Math. Phys.. In press
    • (1996) Comput. Maths. & Math. Phys.
    • Gerdt, V.P.1    Robuk, V.N.2    Severyanov, V.M.3
  • 9
    • 0002822494 scopus 로고    scopus 로고
    • Defining relations associated with the principal sl(2)-subalgebras
    • Grozman, P., Leites, D. (1996a). Defining Relations Associated with the Principal sl(2)-subalgebras. Amer. Math. Soc. Transl. Ser. 2 175, 57-68
    • (1996) Amer. Math. Soc. Transl. Ser. 2 , vol.175 , pp. 57-68
    • Grozman, P.1    Leites, D.2
  • 11
    • 0003774747 scopus 로고
    • Cambridge University Press, Cambridge, third edition
    • Kac, V.G. (1990). Infinite dimensional Lie algebras. Cambridge University Press, Cambridge, third edition.
    • (1990) Infinite Dimensional Lie Algebras
    • Kac, V.G.1
  • 12
    • 84984647753 scopus 로고
    • Non-commutative Gröbner bases in algebras of solvable type
    • Kandri-Rody, A., Weispfenning, V. (1990). Non-commutative Gröbner bases in Algebras of Solvable Type. J. Symb. Comp. 9, 1-26.
    • (1990) J. Symb. Comp. , vol.9 , pp. 1-26
    • Kandri-Rody, A.1    Weispfenning, V.2
  • 13
    • 0002118887 scopus 로고
    • Itogi nauki i tekhniki
    • VINITI. Moscow, in Russian
    • Leites, D. (1984). Lie superalgebras. VINITI. Itogi Nauki i Tekhniki. Modern Problems in Mathematics. Recent Progress, 25, Moscow, pp. 3-50 (in Russian).
    • (1984) Modern Problems in Mathematics. Recent Progress , vol.25 , pp. 3-50
    • Leites, D.1
  • 15
    • 0002587975 scopus 로고
    • A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
    • Manin, Yu. I., Radul, A.O. (1985). A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy, Commun. Math. Phys. 98, 65-77.
    • (1985) Commun. Math. Phys. , vol.98 , pp. 65-77
    • Manin, Yu.I.1    Radul, A.O.2
  • 16
    • 0011567011 scopus 로고
    • The junction lemma and the equality problem for color Lie superalgebras
    • Mikhalev, A.A. (1989). The junction lemma and the equality problem for color Lie superalgebras. Vestnik Moskov. Univ. Ser. I. Mat. Mekh. 5, 88-91.
    • (1989) Vestnik Moskov. Univ. Ser. I. Mat. Mekh. , vol.5 , pp. 88-91
    • Mikhalev, A.A.1
  • 18
    • 0003440510 scopus 로고
    • Preprint No.45, Dip. di Mathematica, Univ. di Genova
    • Mora, T. (1988). Seven Variations on Standard Bases. Preprint No.45, Dip. di Mathematica, Univ. di Genova.
    • (1988) Seven Variations on Standard Bases
    • Mora, T.1
  • 21
    • 0001737635 scopus 로고
    • Some algorithmic problems about Lie algebras
    • Shirshov, A.I. (1962). Some algorithmic problems about Lie algebras. Sibirsk. Mat. Zh. 3, 292-296.
    • (1962) Sibirsk. Mat. Zh. , vol.3 , pp. 292-296
    • Shirshov, A.I.1
  • 22
    • 0002547755 scopus 로고
    • Itogi nauki i tekhniki
    • VINITI, Moscow, (in Russian), to appear in EMS-57 (1995) (in English)
    • Ufnarovsky, V.A. (1990). Combinatorial and asymptotic methods in algebra. VINITI. Itogi Nauki i Tekhniki. Modern Problems in Mathematics. Fundamental Branches, 57, Moscow, pp. 5-177 (in Russian), to appear in EMS-57 (1995) (in English).
    • (1990) Modern Problems in Mathematics. Fundamental Branches , vol.57 , pp. 5-177
    • Ufnarovsky, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.