TY - JOUR
T1 - Double quantization on the coadjoint representation of sl(n)
AU - Donin, J.
PY - 1997/11
Y1 - 1997/11
N2 - For g = sl(n) we construct a two parametric Uh(g)-invariant family of algebras, (Sg)t,h, that is a quantization of the function algebra Sg on the coadjoint representation. Along the parameter t the family gives a quantization of the Lie bracket. This family induces a two parametric Uh(g)-invariant quantization on the maximal orbits, which includes a quantization of the Kirillov-Kostant-Souriau bracket. Yet we construct a quantum de Rham complex on g*.
AB - For g = sl(n) we construct a two parametric Uh(g)-invariant family of algebras, (Sg)t,h, that is a quantization of the function algebra Sg on the coadjoint representation. Along the parameter t the family gives a quantization of the Lie bracket. This family induces a two parametric Uh(g)-invariant quantization on the maximal orbits, which includes a quantization of the Kirillov-Kostant-Souriau bracket. Yet we construct a quantum de Rham complex on g*.
UR - http://www.scopus.com/inward/record.url?scp=0031318948&partnerID=8YFLogxK
U2 - 10.1023/A:1021654016159
DO - 10.1023/A:1021654016159
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AN - SCOPUS:0031318948
SN - 0011-4626
VL - 47
SP - 1115
EP - 1122
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
IS - 11
ER -