Geodesic
Poisson Centralizer of the Trace
Szabolcs Mészáros1
1Dept. of Mathematics, Central European University, Nador u. 9, Budapest 1051, Hungary
Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 309-322

Voir la notice de l'article provenant de la source Heldermann Verlag

The Poisson centralizer of the i-th trace element is determined in the coordinate ring of SLn endowed with the Poisson structure obtained as the semiclassical limit of its quantized coordinate ring. It turns out that this maximal Poisson-commutative subalgebra coincides with the subalgebra of invariants with respect to the adjoint action.
Classification : 16T20, 17B63, 16W70, 20G42
Mots-clés : Quantized coordinate ring, semiclassical limit, Poisson algebra, complete involutive system, maximal Poisson-commutative subalgebra

Szabolcs Mészáros  1

1 Dept. of Mathematics, Central European University, Nador u. 9, Budapest 1051, Hungary 
Szabolcs Mészáros. Poisson Centralizer of the Trace. Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 309-322. http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a0/
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     title = {Poisson {Centralizer} of the {Trace}},
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     year = {2018},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a0/}
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