Poisson Centralizer of the Trace
Rings and Algebras
2017-02-27 v2 Quantum Algebra
Abstract
The Poisson centralizer of the 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 Poisson-commutative subalgebra coincides with the subalgebra of invariants with respect to the adjoint action.
Keywords
Cite
@article{arxiv.1604.01391,
title = {Poisson Centralizer of the Trace},
author = {Szabolcs Mészáros},
journal= {arXiv preprint arXiv:1604.01391},
year = {2017}
}