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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6202https://doi.org/10.4213/tmf6202 https://www.mathnet.ru/eng/tmf/v155/i1/p177
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Abstract page: | 343 | Full-text PDF : | 180 | References: | 34 | First page: | 4 |
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