Quantum coadjoint orbits in gl(n)

Joseph Donin, Andrey Mudrov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We present a double Uh(gl(n, ℂ))-equivariant quantization on semisimple coadjoint orbits of the group GL(n, ℂ) as a quotient of the extended reflection equation algebra by relations which are given explicitly. Such a quantization is a two-parameter family including an explicit GL(n)-equivariant quantization of the Kirillov-Kostant-Souriau Poisson bracket.

Original languageEnglish
Pages (from-to)1207-1212
Number of pages6
JournalCzechoslovak Journal of Physics
Issue number11
StatePublished - Nov 2002


  • Coadjoint orbits
  • Equivariant quantization
  • Quantum groups


Dive into the research topics of 'Quantum coadjoint orbits in gl(n)'. Together they form a unique fingerprint.

Cite this