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Integrable Systems on Lie Algebras and Symmetric Spaces
A. T. FomenkoV. V. Trofimov
出版CRC Press, 1988
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Algebra / LinearScience / Physics / General
ISBN28812417009782881241703
URLhttp://books.google.com.hk/books?id=XeIx_fLQw_kC&hl=&source=gbs_api
EBookSAMPLE
註釋Second volume in the series, translated from the Russian, sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. Begins by constructing the algebraic embeddings in Lie algebras of Hamiltonian systems, going on to present effective methods for constructing complete sets of functions in involution on orbits of coadjoint representations of Lie groups. Ends with the proof of the full integrability of a wide range of many- parameter families of Hamiltonian systems that allow algebraicization. Annotation copyrighted by Book News, Inc., Portland, OR