$\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra

Details $\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra $\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra

2001-08-16

arxiv.org/abs/math/0108112v3

Contemp. Math. V. 315, AMS, Providence, RI (2002) 61-80

Mathematics

Quantum Algebra

Replaced by the journal version, AMS LaTeX 19 pages

Scientific paper

We study relations between the two-parameter $\U_q(sl(n))$-invariant deformation quantization on $sl^*(n)$ and the reflection equation algebra. The latter is described by a quantum permutation on $\End(\C^n)$ given explicitly. The reflection equation algebra is used for constructing the one-parameter quantization on coadjoint orbits, including symmetric and certain bisymmetric and nilpotent ones. Our approach is based on embedding the quantized function algebras on the orbits into the algebra of functions on the quantum group $SL_q(n)$ via reflection equation algebra characters.

Affiliated with

Also associated with

No associations

Rating

$\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $\U_q(sl(n))$-invariant quantization of symmetric coadjoint orbits via reflection equation algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-396454