Journal of Lie Theory

no. 2
Poisson Centralizer of the Trace
Journal of Lie Theory, Volume 28 (2018) no. 2, pp. 309-322
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.
DOI: 10.5802/jolt.1003
Classification: 16T20, 17B63, 16W70, 20G42
Keywords: Quantized coordinate ring, semiclassical limit, Poisson algebra, complete involutive system, maximal Poisson-commutative subalgebra 
@article{JOLT_2018_28_2_a0,
     author = {S. M\'esz\'aros},
     title = {Poisson {Centralizer} of the {Trace}},
     journal = {Journal of Lie Theory},
     pages = {309--322},
     year = {2018},
     volume = {28},
     number = {2},
     doi = {10.5802/jolt.1003},
     zbl = {1391.16039},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1003/}
}
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S. Mészáros. Poisson Centralizer of the Trace. Journal of Lie Theory, Volume 28 (2018) no. 2, pp. 309-322. doi: 10.5802/jolt.1003

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