Zap. Nauchn. Sem. LOMI, 1983, Volume 123

RUS ENG

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1983, Volume 123

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General information

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Contents

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Differential geometry, Lie groups and mechanics. Part V

	Infinite dimensional metagonal and metaplictie groups I. The general notions and the metagonal group A. M. Vershik		3
	Semifinite characters of $U(\infty)$ G. Ya. Gitel'son		36
	Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula S. I. Karpushev		46
	Landau–Lofshitz equation. Dressing up of the solutions and the elementary excitations A. I. Bobenko		58
	Hamiltonian structure of polynomial bundles P. P. Kulish, A. G. Reiman		67
	Classical $r$-matrices and the orbits method M. A. Semenov-Tian-Shansky		77
	Integrable systems and Lie superalgebras D. A. Leites, M. A. Semenov-Tian-Shansky		92
	Explicit solutions for generalized Toda lattices related to classical Lie superalgebras R. Yu. Kirillova		98
	Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras N. Yu. Reshetikhin		112
	The $K$-functOr (Grothndieck group) of the infinite symmetric group. A. M. Vershik, S. V. Kerov		126
	Numerical data on the typical dimensions of irreducible sepresentations of symmetric groups A. M. Vershik, A. B. Gribov, S. V. Kerov		152
	Discrete subexponential groups A. E. Bereznyi		155
	Examples of non-abelian discrete groups with non-trivial exit boundary V. A. Kaimanovich		167
	Uniform algebras of operator fields V. A. Arzumanian, S. A. Grigoryan		185
	On $W$-graphs of the symmetric group representations S. V. Kerov		190
	On realizability of combinatorial types of convex polytopes over number fields N. E. Mnev		203
	An application of integral geometry to linear inequality theory P. V. Sporyshev		208

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