Quantum groups constructed from the nonstandard braid group representations in the Faddeev-Reshetikhin-Takhtajan approach. II

Abstract

For pt.I see ibid., vol.24, p.L725 (1991). From the nonstandard braid group representation for the fundamental representation of slq(n), the authors obtain the corresponding algebra in the Faddeev-Reshetikhin-Takhtajan approach. The main features of the algebra consist of (X+or-k)2=0, k=1, 2,. . ., n-1, which obliterates half of the generalized Serre relations; an unusual scalar product normalization of the underlying root vectors, besides the presence of two parameters, one of which is a root of unity. Explicit detail is given for the n=5 case. An alternative interpretation suggests that such nonstandard solutions are closely connected with the quantum superalgebras.