TY - JOUR
T1 - Quantum coadjoint orbits in gl(n)
AU - Donin, Joseph
AU - Mudrov, Andrey
PY - 2002/11
Y1 - 2002/11
N2 - 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.
AB - 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.
KW - Coadjoint orbits
KW - Equivariant quantization
KW - Quantum groups
UR - https://www.scopus.com/pages/publications/0036027305
U2 - 10.1023/a:1021376702256
DO - 10.1023/a:1021376702256
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AN - SCOPUS:0036027305
SN - 0011-4626
VL - 52
SP - 1207
EP - 1212
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
IS - 11
ER -