Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)
Work
Year: 2020
Type: article
Abstract: Let S ( g ) be the symmetric algebra of a reductive Lie algebra g equipped with the standard Poisson structure. If C ⊂ S ( g ) is a Poisson-commutative subalgebra, then tr . deg C ⩽ b ( g ) , where b ... more
Authors Dmitri I. Panyushev, Oksana Yakimova
Cites: 32
Cited by: 2
Related to: 10
FWCI: 0.538
Citation percentile (by year/subfield): 47.91
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders Deutsche Forschungsgemeinschaft, Deutsche Forschungsgemeinschaft, Russian Foundation for Basic Research
Grant IDS 330450448, 454900253, 20‐01‐00515