Argument shift method: Difference between revisions

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Line 1: {{Orphan\|date=December 2022}} In mathematics, the '''argument shift method''' was introduced by {{harvs\|txt\|last1=Mishchenko\|last2=▼ Fomenko\|year=1978}} who used it to prove that the [[Poisson algebra]] of a finite-dimensional [[semisimple Lie algebra]] contains a complete commuting set of polynomials. ▼ ▲In mathematics, the '''argument shift method''' ~~was~~is a method for constructing functions in involution with respect to [[Poisson–Lie bracket]]s, introduced by {{harvs\|txt\|last1=Mishchenko\|last2= ▲Fomenko\|year=1978}}. ~~who~~They used it to prove that the [[Poisson algebra]] of a finite-dimensional [[semisimple Lie algebra]] contains a complete commuting set of polynomials. ==References== *{{Citation \| last1=Mishchenko \| first1=A. S. \| last2=Fomenko \| first2=A. T. \| title=Euler equation on finite-dimensional Lie groups \| idmr=~~{{MR\|~~0482832~~}} English translation: Math. USSR-Izv. 12 (1978), no. 2, 371–389~~ \| year=1978 \| journal=Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya \|language=ru \| issn=0373-2436 \| volume=42 \| issue=2 \| pages=396–415}} English translation: Math. USSR-Izv. 12 (1978), no. 2, 371–389 [[Category:Lie algebras]] {{abstract-algebra-stub}}