On the Cremmer-Gervais quantizations of SL(n)
Timothy J. Hodges
Abstract
Non-standard quantum groups CR [GL(n)] and CR [SL(n)] are constructed for a two parameter version of the Cremmer-Gervais R-matrix. An epimorphism is constructed from CR [GL(n)] onto the restricted dual UR(gl(n-1)) associated to a related smaller R-matrix of the same form. A related result is proved concerning factorizable Lie bialgebras. For any such Lie bialgebra, the dual Lie bialgebra has a canonical homomorphic image which is again factorizable.
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