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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 1, Pages 177–192
DOI: https://doi.org/10.4213/tmf6202 (Mi tmf6202) 		 
An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra

G. F. Helmincka, S. V. Polenkovab

a University of Amsterdam
b University of Twente
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DOI: https://doi.org/10.4213/tmf6202
Abstract: Starting with the group of operators on a separable Hilbert space that differ from the identity by a trace-class operator, we construct a solution of the two-dimensional infinite Toda hierarchy associated with a maximal commutative subalgebra in complex $k{\times}k$ matrices.
Keywords: two-dimensional infinite Toda hierarchy, Lax equation, linearization, commuting flows, Banach Lie group, big cell.
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 1, Pages 659–672
DOI: https://doi.org/10.1007/s11232-008-0055-2
Bibliographic databases:
Language: Russian
Citation: G. F. Helminck, S. V. Polenkova, “An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra”, TMF, 155:1 (2008), 177–192; Theoret. and Math. Phys., 155:1 (2008), 659–672
Citation in format AMSBIB
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