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An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra

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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×k matrices.

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Authors and Affiliations

  1. Korteweg de Vries Institute, University of Amsterdam, Amsterdam, The Netherlands

    G. F. Helminck

  2. Faculty of Mathematical Sciences, University of Twente, Enschede, The Netherlands

    S. V. Polenkova

Authors
  1. G. F. Helminck
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  2. S. V. Polenkova
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Corresponding author

Correspondence to G. F. Helminck.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 177–192, April, 2008.

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Helminck, G.F., Polenkova, S.V. An analytic framework for the two-dimensional infinite Toda hierarchy associated with a commutative algebra. Theor Math Phys 155, 659–672 (2008). https://doi.org/10.1007/s11232-008-0055-2

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  • DOI: https://doi.org/10.1007/s11232-008-0055-2

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