The q-difference Noether problem for complex reflection groups and quantum OGZ algebras

@article{Hartwig2015TheQN,
  title={The q-difference Noether problem for complex reflection groups and quantum OGZ algebras},
  author={J. Hartwig},
  journal={Communications in Algebra},
  year={2015},
  volume={45},
  pages={1166 - 1176}
}
  • J. Hartwig
  • Published 2015
  • Mathematics
  • Communications in Algebra
  • ABSTRACT For any complex reflection group G = G(m,p,n), we prove that the G-invariants of the division ring of fractions of the n:th tensor power of the quantum plane is a quantum Weyl field and give explicit parameters for this quantum Weyl field. This shows that the q-difference Noether problem has a positive solution for such groups, generalizing previous work by Futorny and the author [10]. Moreover, the new result is simultaneously a q-deformation of the classical commutative case and ofā€¦Ā CONTINUE READING
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