R-matrices and generalized inverses

H W Braden

Research output: Contribution to journalLetterpeer-review

Abstract / Description of output

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.

Original languageEnglish
Pages (from-to)L485-L493
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number15
Publication statusPublished - 7 Aug 1997

Keywords / Materials (for Non-textual outputs)

  • EQUATIONS

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