Algebraic structure of multi-parameter quantum groups

Details Algebraic structure of multi-parameter quantum groups Algebraic structure of multi-parameter quantum groups

1996-09-19

arxiv.org/abs/q-alg/9609021v1

Mathematics

Quantum Algebra

AMS Latex, 37 pages, June 1994; to appear in Advances in Math

Scientific paper

Multi-parameter versions U_p(g) and C_p[G] of the standard quantum groups U_q(g) and C_q[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 C_p[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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