The Global Quantum Duality Principle : Theory , Examples , and Applications

@inproceedings{Gavarini2003TheGQ,
  title={The Global Quantum Duality Principle : Theory , Examples , and Applications},
  author={Fabio Gavarini},
  year={2003}
}
  • Fabio Gavarini
  • Published 2003
Let R be a 1-dimensional integral domain, let ∈ R \ {0} be prime, and let HA be the category of torsionless Hopf algebras over R. We call H ∈ HA a " quantized function algebra " (=QFA), resp. " quantized restricted universal enveloping algebras " (=QrUEA), at if H H is the function algebra of a connected Poisson group, resp. the (restricted, if R R has positive characteristic) universal enveloping algebra of a (restricted) Lie bialgebra. We establish an " inner " Galois' correspondence on HA… CONTINUE READING