The higher order Hamiltonian structures for the modified classical Yang-Baxter equation
type: Item
instance of: scholarly article
title: The higher order Hamiltonian structures for the modified classical Yang-Baxter equation
zbMATH Open document ID: 0874.35115
DOI: 10.1007/BF02099632
author: Kaoru Ikeda
published in: Communications in Mathematical Physics
publication date: 1996-11-25T00:00:00Z
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 934776
zbMATH Keywords: higher order Hamiltonian structures
zbMATH Keywords: Lie algebra
zbMATH Keywords: algebra of vector fields
zbMATH Keywords: Yang-Baxter equation
zbMATH Keywords: Poisson brackets
MaRDI profile type: Publication
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cites work: Compatible poisson structures and the virasoro algebra
cites work: Q3888209
cites work: The complex exponent of a singularity does not change along strata mu=const
cites work: Q3865176
cites work: The Poisson structure on the coordinate ring of discrete Lax operator and Toda lattice equation
cites work: ALGEBRAIC STUDY ON THE POISSON STRUCTURE OF LAX OPERATOR OF B AND C TYPE AND SUPER LAX OPERATOR.
cites work: Hamiltonian structure of Sato's hierarchy of KP equations and a coadjoint orbit of a certain formal Lie group
full work available at URL: https://doi.org/10.1007/bf02099632
OpenAlex ID: W2031224030
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description: scientific article; zbMATH DE number 934776