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

Zapiski Nauchnykh Seminarov LOMI

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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		3–35
	Semifinite characters of $U(\infty)$ G. Ya. Gitel'son		36–45
	Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula S. I. Karpushev		46–57
	Landau–Lofshitz equation. Dressing up of the solutions and the elementary excitations A. I. Bobenko		58–66
	Hamiltonian structure of polynomial bundles P. P. Kulish, A. G. Reiman		67–76
	Classical $r$-matrices and the orbits method M. A. Semenov-Tian-Shansky		77–91
	Integrable systems and Lie superalgebras D. A. Leites, M. A. Semenov-Tian-Shansky		92–97
	Explicit solutions for generalized Toda lattices related to classical Lie superalgebras R. Yu. Kirillova		98–111
	Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras N. Yu. Reshetikhin		112–125
	The $K$-functOr (Grothndieck group) of the infinite symmetric group. A. M. Vershik, S. V. Kerov		126–151
	Numerical data on the typical dimensions of irreducible sepresentations of symmetric groups A. M. Vershik, A. B. Gribov, S. V. Kerov		152–154
	Discrete subexponential groups A. E. Bereznyi		155–166
	Examples of non-abelian discrete groups with non-trivial exit boundary V. A. Kaimanovich		167–184
	Uniform algebras of operator fields V. A. Arzumanian, S. A. Grigoryan		185–189
	On $W$-graphs of the symmetric group representations S. V. Kerov		190–202
	On realizability of combinatorial types of convex polytopes over number fields N. E. Mnev		203–207
	An application of integral geometry to linear inequality theory P. V. Sporyshev		208–220

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