Generalized Toda flows

Generalized Toda flows

The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger groups of C^2 and entire functions, and in this second case, we also introduce associated cocycles and in fact give center...

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Veröffentlicht in:Transactions of the American Mathematical Society 2019-04, Vol.371 (7), p.5069-5081
Hauptverfasser: Ong, Darren, Remling, Christian
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Remling, Christian
description The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger groups of C^2 and entire functions, and in this second case, we also introduce associated cocycles and in fact give center stage to this object.
doi_str_mv 10.1090/tran/7695
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