Algebraic structure of multi-parameter quantum groups
Timothy J. Hodges, Thierry Levasseur, Margarita Toro
Abstract
Multi-parameter versions Up(g) and Cp[G] of the standard quantum groups Uq(g) and Cq[G] are considered where G is a semi-simple connected complex algebraic group and g is the Lie algebra of G. The primitive spectrum of Cp[G] is calculated, generalizing a result of Joseph for the standard quantum groups. This classification is compared with the classification of symplectic leaves for the associated Poisson structure on G.
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