메뉴 건너뛰기




Volumn 96, Issue , 1996, Pages 97-113

Gröbner-Shirshov bases for quantum enveloping algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002491542     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02785535     Document Type: Article
Times cited : (36)

References (24)
  • 1
    • 0003213719 scopus 로고
    • An introduction to Gröbner bases
    • American Mathematical Society, MR 95g:13025
    • W. Adams and P. Loustaunou, An Introduction to Gröbner Bases, Graduate Studies in Mathematics Vol. 3, American Mathematical Society, 1994. MR 95g:13025.
    • (1994) Graduate Studies in Mathematics , vol.3
    • Adams, W.1    Loustaunou, P.2
  • 2
    • 49349125897 scopus 로고
    • The diamond lemma for ring theory
    • MR 81b:16001
    • G. M. Bergman, The diamond lemma for ring theory, Advances in Mathematics 29 (1978), 178-218. MR 81b:16001.
    • (1978) Advances in Mathematics , vol.29 , pp. 178-218
    • Bergman, G.M.1
  • 3
    • 0009066707 scopus 로고
    • Imbedding of Lie algebras into algebraically closed Lie algebras
    • L. A. Bokut', Imbedding of Lie algebras into algebraically closed Lie algebras, Algebra and Logic 1 (1962), 47-53.
    • (1962) Algebra and Logic , vol.1 , pp. 47-53
    • Bokut', L.A.1
  • 4
    • 0000433959 scopus 로고
    • Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras
    • L. A. Bokut', Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras, Mathematics of the USSR-Izvestiya 6 (1972), no. 6, 1153-1199. ( In Russian: Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 36 (1972), no. 6, 1173-1219.).
    • (1972) Mathematics of the USSR-Izvestiya , vol.6 , Issue.6 , pp. 1153-1199
    • Bokut', L.A.1
  • 5
    • 0000433959 scopus 로고
    • In Russian
    • L. A. Bokut', Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras, Mathematics of the USSR-Izvestiya 6 (1972), no. 6, 1153-1199. ( In Russian: Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 36 (1972), no. 6, 1173-1219.).
    • (1972) Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya , vol.36 , Issue.6 , pp. 1173-1219
  • 6
    • 0000832490 scopus 로고
    • Imbedding into simple associative algebras
    • MR 58#22167
    • L. A. Bokut', Imbedding into simple associative algebras, Algebra and Logic 15 (1976), 117-142. MR 58#22167.
    • (1976) Algebra and Logic , vol.15 , pp. 117-142
    • Bokut', L.A.1
  • 7
    • 0009030353 scopus 로고
    • On algebraically closed and simple Lie algebras
    • MR 82c:17009
    • L. A. Bokut', On algebraically closed and simple Lie algebras, Trudy Steklov Math. 148 (1978), 30-42. MR 82c:17009..
    • (1978) Trudy Steklov Math. , vol.148 , pp. 30-42
    • Bokut', L.A.1
  • 8
    • 0000783082 scopus 로고
    • A basis of a free metabelian associative algebra
    • MR 93e:16035
    • L. A. Bokut' and L. G. Makar-Limanov, A basis of a free metabelian associative algebra, Sibirskii Mathematicheskii Zhurnal 32 (1991), no. 6, 12-18. MR 93e:16035.
    • (1991) Sibirskii Mathematicheskii Zhurnal , vol.32 , Issue.6 , pp. 12-18
    • Bokut', L.A.1    Makar-Limanov, L.G.2
  • 12
    • 0003204425 scopus 로고
    • Gröbner bases. A computational approach to commutative algebra
    • Springer-Verlag, Berlin, MR 95e:13018
    • T. Becker and V. Weispfenning, Gröbner Bases. A Computational Approach to Commutative Algebra, Graduate Texts in Mathematics Vol. 141, Springer-Verlag, Berlin, 1993. MR 95e:13018.
    • (1993) Graduate Texts in Mathematics , vol.141
    • Becker, T.1    Weispfenning, V.2
  • 13
    • 0000911820 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • MR 87h:58080
    • V. G. Drinfel'd, Hopf algebras and the quantum Yang-Baxter equation, Doklady Adakemii Nauk SSSR 283 (1985), no. 5, 1060-1064. MR 87h:58080.
    • (1985) Doklady Adakemii Nauk SSSR , vol.283 , Issue.5 , pp. 1060-1064
    • Drinfel'd, V.G.1
  • 14
    • 0040323775 scopus 로고
    • A q-difference analogue of U(G) and the Yang-Baxter equation
    • MR 86k:17008
    • M. Jimbo, A q-difference analogue of U(G) and the Yang-Baxter equation, Letters in Mathematical Physics 10 (1985), no. 1, 63-69. MR 86k:17008.
    • (1985) Letters in Mathematical Physics , vol.10 , Issue.1 , pp. 63-69
    • Jimbo, M.1
  • 15
    • 0345930356 scopus 로고
    • A q-analogue of U(gl(N + 1)), hecke algebra, and the Yang-Baxter equation
    • MR 87k:17011
    • M. Jimbo, A q-analogue of U(gl(N + 1)), Hecke algebra, and the Yang-Baxter equation, Letters in Mathematical Physics 11 (1986), no. 3, 247-252. MR 87k:17011.
    • (1986) Letters in Mathematical Physics , vol.11 , Issue.3 , pp. 247-252
    • Jimbo, M.1
  • 17
  • 19
    • 0000339016 scopus 로고
    • Analogues de la forme de killing et du theoreme d'harish-chandra pour les groupes quantiques
    • MR 93e:17026
    • M. Rosso, Analogues de la forme de Killing et du theoreme d'Harish-Chandra pour les groupes quantiques, Annales Scientifiques de l'École Normale Supérieure 23 (1990), no. 3, 445-467. MR 93e:17026.
    • (1990) Annales Scientifiques de L'école Normale Supérieure , vol.23 , Issue.3 , pp. 445-467
    • Rosso, M.1
  • 20
    • 0001428405 scopus 로고
    • On free lie rings
    • A. I. Shirshov, On free Lie rings, Matematicheskii Sbornik 45 (1958), no. 2, 113-122.
    • (1958) Matematicheskii Sbornik , vol.45 , Issue.2 , pp. 113-122
    • Shirshov, A.I.1
  • 21
    • 0001737634 scopus 로고
    • Some algorithmic problems for ∈-algebras
    • MR 32#1222
    • A. I. Shirshov, Some algorithmic problems for ∈-algebras, Sibirskii Matematicheskii Zhurnal 3 (1962), no. 1, 132-137. MR 32#1222.
    • (1962) Sibirskii Matematicheskii Zhurnal , vol.3 , Issue.1 , pp. 132-137
    • Shirshov, A.I.1
  • 22
    • 0001737635 scopus 로고
    • Some algorithmic problems for Lie algebras
    • A. I. Shirshov, Some algorithmic problems for Lie algebras, Sibirskii Matematicheskii Zhurnal 3 (1962), no. 2, 292-296.
    • (1962) Sibirskii Matematicheskii Zhurnal , vol.3 , Issue.2 , pp. 292-296
    • Shirshov, A.I.1
  • 23
    • 0039649364 scopus 로고
    • On a hypothesis of the theory of Lie algebras
    • A. I. Shirshov, On a hypothesis of the theory of Lie algebras, Sibirskii Matematicheskii Zhurnal 3 (1962), no. 2, 297-301.
    • (1962) Sibirskii Matematicheskii Zhurnal , vol.3 , Issue.2 , pp. 297-301
    • Shirshov, A.I.1
  • 24
    • 85008556148 scopus 로고
    • Publications of the Research Institute for Mathematical Sciences of Kyoto University, MR 91a:17016
    • N, Publications of the Research Institute for Mathematical Sciences of Kyoto University 25 (1989), no. 3, 503-520. MR 91a:17016.
    • (1989) N , vol.25 , Issue.3 , pp. 503-520
    • Yamane, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.