This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnol'd, V.I. Mathematical Methods of Classical Mechanics, Moscow, 1974.
Mishchenko, A.S. and Fomenko, A.T. A Generalized Method of Liouville Integration of Hamiltonian Systems, Func. Anal., 1978, vol. 12.
Mishchenko, A.S. and Fomenko, A.T. Integration of Hamiltonian Systems with Non-commutative Symmetries, Trudy seminara po vektornomu i tenzornomu analizu, 1980, issue 20.
Mishchenko, A.S. Integration of Geodesic Flows on Symmetric Spaces, Trudy seminara po vektornomu i tenzornomu analizu, 1981, issue 21.
Mishchenko, A.S. and Fomenko, A.T. Euler Equations on Finite-Dimensional Lie Groups, Izv. AN SSSR, ser. mat., 1978, vol. 42.
Arkhangel'sky, A.A. On Integration of Euler Equation on Triangular Matrices Algebra, Mat. sb., 1979, vol. 108, issue 1.
Trofimov, V.V. Euler Equations on Borel Subalgebras of Semisimple Lie Algebras, Izv. AN SSSR, ser. mat., 1979, vol. 43, issue 3.
Trofimov, V.V. Finite-Dimensional Representation of Lie Algebras of Completely Integrable Systems, Mat. sb., 1980, vol. 111, issue 4.
Vergene, M. La structure de Poisson sur l' algebre symmétrique d'une algèbre de Lie nilpotente, Bull. Soc. Math. France, 1972, vol. 100.
Pevtsova, T.A. One Method of Constructing the Commutative Algebra of Integrals on Lie Algebras, Tez. dokl. 7-i Vsesoyuz. konf. po sovremennym problemam geometrii, Minsk, 1979.
Bocharov, A.V. and Vinogradov, A.M. An Addendum to the Report "Structure of Hamiltonian Mechanics", Uspehi Math. Nauk, 1977, vol. 32, issue 4.
Rais, M. La représentation coadjonte du group affine, Ann. Inst. Fourier, 1978, vol. 28, N 1.
Rais, M. L'indice des produits semi-product E x
g, C.R. Acad. Sci., 1978, vol. 237, N 4A.
g, C.R. Acad. Sci., 1978, vol. 237, N 4A.Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Mishchenko, A.S. (1984). The structure of extension orbits of lie algebras. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis — Studies and Applications I. Lecture Notes in Mathematics, vol 1108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099550
Download citation
DOI: https://doi.org/10.1007/BFb0099550
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13910-2
Online ISBN: 978-3-540-39132-6
eBook Packages: Springer Book Archive