
Journal of Lie Theory 28 (2018), No. 2, 309322 Copyright Heldermann Verlag 2018 Poisson Centralizer of the Trace Szabolcs Mészáros Dept. of Mathematics, Central European University, Nador u. 9, Budapest 1051, Hungary meszaros_szabolcs@phd.ceu.edu The Poisson centralizer of the ith trace element is determined in the coordinate ring of SL_{n} endowed with the Poisson structure obtained as the semiclassical limit of its quantized coordinate ring. It turns out that this maximal Poissoncommutative subalgebra coincides with the subalgebra of invariants with respect to the adjoint action. Keywords: Quantized coordinate ring, semiclassical limit, Poisson algebra, complete involutive system, maximal Poissoncommutative subalgebra. MSC: 16T20, 17B63; 16W70, 20G42 [ Fulltextpdf (374 KB)] for subscribers only. 