THE QUANTUM GROUP OF A NONDEGENERATE BILINEAR FORM

被引:76
作者
DUBOISVIOLETTE, M
LAUNER, G
机构
[1] Laboratoire de Physique Théorique et Hautes Energies, Université Paris XI, F-91405 Orsay
关键词
D O I
10.1016/0370-2693(90)90129-T
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In complete analogy with the definition of the classical groups we introduce the quantum group which preserves a non-degenerate bilinear form. This is a Hopf algebra defined by a multiplicative matrix (i.e. a matrix quantum group) with an R matrix which we explicitly compute. If one restricts attention to the two-dimensional case, one recovers the known quantum deformations of SL(2). © 1990.
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页码:175 / 177
页数:3
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