Argument shift method: Difference between revisions

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In mathematics, the argument shift method is a method for constructing functions in involution with respect to Poisson–Lie brackets, introduced by Mishchenko and Fomenko (1978). They used it to prove that the Poisson algebra of a finite-dimensional semisimple Lie algebra contains a complete commuting set of polynomials.

References

Mishchenko, A. S.; Fomenko, A. T. (1978), "Euler equation on finite-dimensional Lie groups", Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya (in Russian), 42 (2): 396–415, ISSN 0373-2436, MR 0482832 English translation: Math. USSR-Izv. 12 (1978), no. 2, 371–389

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 ==References==
-*{{Citation | last1=Mishchenko | first1=A. S. | last2=Fomenko | first2=A. T. | title=Euler equation on finite-dimensional Lie groups | id={{MR|0482832}} English translation: Math. USSR-Izv. 12 (1978), no. 2, 371–389 | year=1978 | journal=Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya | issn=0373-2436 | volume=42 | issue=2 | pages=396–415}}
+*{{Citation | last1=Mishchenko | first1=A. S. | last2=Fomenko | first2=A. T. | title=Euler equation on finite-dimensional Lie groups |mr=0482832 | 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]]