Рейман, А.Г.. "Интегрируемые гамильтоновы системы, связанные с градуированными алгебрами Ли." Zapiski naucnych seminarov Leningradskogo 95 (1980): 3-54. <http://eudml.org/doc/68813>.
@article{Рейман1980, author = {Рейман, А.Г.}, journal = {Zapiski naucnych seminarov Leningradskogo}, keywords = {parabolic decompositions of semisimple Lie algebras; generalized Toda lattices; Novikov spectral parameter; compact configuration spaces; higher-dimensional tops; motions of point in homogeneous spaces; linear and quadratic potentials; integrals of motion in involution; factorization problem in appropriate Lie group; Lax form; commutator representation; phase space is cotangent bundle; splitting into kinetic energy and potential energy; Kirillov-Kostant symplectic structure; coadjoint representation; Souriau-Sternberg-Marsden-Weinstein theory of reduction; geometric translation of Adler's method}, language = {rus}, pages = {3-54}, publisher = {Nauka}, title = {Интегрируемые гамильтоновы системы, связанные с градуированными алгебрами Ли}, url = {http://eudml.org/doc/68813}, volume = {95}, year = {1980}, }
TY - JOUR AU - Рейман, А.Г. TI - Интегрируемые гамильтоновы системы, связанные с градуированными алгебрами Ли JO - Zapiski naucnych seminarov Leningradskogo PY - 1980 PB - Nauka VL - 95 SP - 3 EP - 54 LA - rus KW - parabolic decompositions of semisimple Lie algebras; generalized Toda lattices; Novikov spectral parameter; compact configuration spaces; higher-dimensional tops; motions of point in homogeneous spaces; linear and quadratic potentials; integrals of motion in involution; factorization problem in appropriate Lie group; Lax form; commutator representation; phase space is cotangent bundle; splitting into kinetic energy and potential energy; Kirillov-Kostant symplectic structure; coadjoint representation; Souriau-Sternberg-Marsden-Weinstein theory of reduction; geometric translation of Adler's method UR - http://eudml.org/doc/68813 ER -
