dorsal/arxiv
View SchemaR-Matrices and Generalized Inverses
| Authors | H. W. Braden |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9706001 |
| URL | https://arxiv.org/abs/solv-int/9706001 |
Abstract
Four results are given that address the existence, ambiguities and construction of a classical R-matrix given a Lax pair. They enable the uniform construction of R-matrices in terms of any generalized inverse of $ad L$. For generic $L$ a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. The construction applies equally to Lax matrices with spectral parameter.
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"abstract": "Four results are given that address the existence, ambiguities and\nconstruction of a classical R-matrix given a Lax pair. They enable the uniform\nconstruction of R-matrices in terms of any generalized inverse of $ad L$. For\ngeneric $L$ a generalized inverse (and indeed the Moore-Penrose inverse) is\nexplicitly constructed. The R-matrices are in general momentum dependent and\ndynamical. The construction applies equally to Lax matrices with spectral\nparameter.",
"arxiv_id": "solv-int/9706001",
"authors": [
"H. W. Braden"
],
"categories": [
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"title": "R-Matrices and Generalized Inverses",
"url": "https://arxiv.org/abs/solv-int/9706001"
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