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50 page monograph by Fabio Gavarini, in Pacific J. of Mathematics, Volume 186, No. 2, (1998), 217-266

Abstract:

Let G(tau) be a connected simply connected semisimple algebraic group, endowed with a generalized Sklyanin-Drinfel'd structure of Poisson group, and let H_tau be its dual Poisson group. Fabio Gavarini by means of a quantum double construction and dualization via formal Hopf algebras, was able to construct new quantum groups Uq,phiM(h), dual of Uq,phiM'(g), that yield infinitesimal quantization of both H_tau and G(tau). Particular cases are then claimed to lead then to new quantum Frobenius morphisms. The description for G_tau has a dual for H_tau, thus completing the quantization for the pair (G(G(tau),H_tau). http://pjm.math.berkeley.edu/pjm/1998/186-2/pjm-v186-n2-p02-s.pdf

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