TY - JOUR
T1 - Serre relations and Gröbner-shirshov bases for simple Lie algebras II
AU - Bokut, L. A.
AU - Klein, A. A.
PY - 1996/8
Y1 - 1996/8
N2 - Gröbner-Shirshov bases for the Lie algebras Bn, Cn, Dn, abstractly defined by generators and the Serre relations for the corresponding Cartan matrices over a field of characteristic ≠ 2, 3, are constructed. As an application, we obtain that each of the previous algebras is isomorphic to a classical simple Lie algebra so2n+1(k), sp2n(k), so2nk respectively.
AB - Gröbner-Shirshov bases for the Lie algebras Bn, Cn, Dn, abstractly defined by generators and the Serre relations for the corresponding Cartan matrices over a field of characteristic ≠ 2, 3, are constructed. As an application, we obtain that each of the previous algebras is isomorphic to a classical simple Lie algebra so2n+1(k), sp2n(k), so2nk respectively.
UR - http://www.scopus.com/inward/record.url?scp=0030516342&partnerID=8YFLogxK
U2 - 10.1142/S0218196796000234
DO - 10.1142/S0218196796000234
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AN - SCOPUS:0030516342
SN - 0218-1967
VL - 6
SP - 401
EP - 412
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 4
ER -