Algebraic structure of multi-parameter quantum groups
q-alg
2008-02-03 v1 量子代数
摘要
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.
引用
@article{arxiv.q-alg/9609021,
title = {Algebraic structure of multi-parameter quantum groups},
author = {Timothy J. Hodges and Thierry Levasseur and Margarita Toro},
journal= {arXiv preprint arXiv:q-alg/9609021},
year = {2008}
}
备注
AMS Latex, 37 pages, June 1994; to appear in Advances in Math