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
6 Citations
33 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 33 references

The Crystal Duality Principle: from Hopf Algebras to Geometrical Symmetries, preprint math

  • The Crystal Duality Principle: from Hopf Algebras…
  • 2003

The quantum duality principle, Annales de l

  • Institut Fourier
  • 2002

Les algèbres de Hopf des arbres enracinés décorés, preprint math

  • L Foissy
  • Les algèbres de Hopf des arbres enracinés décorés…
  • 2001

Renormalization of QED with planar binary trees

  • C Brouder, A Frabetti
  • Eur. Phys. J. C
  • 2001

Dual affine quantum groups

  • Math. Z
  • 2000

Noncommutative renormalization for massless QED, preprint hep-th

  • Bf
  • Noncommutative renormalization for massless QED…
  • 2000

The Nottingham Group New Horizons in pro-p Groups

  • R Carmina
  • Progress in Math
  • 2000

Similar Papers

Loading similar papers…