Braided Gelfand-Zetlin algebras and their semiclassical counterparts
arXiv:2507.04564
Abstract
We construct analogs of the Gelfand-Zetlin algebras in the Reflection Equation algebras, corresponding to Hecke symmetries, mainly to those coming from the quantum groups U_q(sl(N)). Corresponding semiclassical (i.e. Poisson) counterparts of the Gelfand-Zetlin algebras are described.
Latex, 16 pages. Minor misprints are corrected, one item is added to the Reference list