Hopf algebras and integrable flows related to the Heisenberg-Weil coalgebra

A. K. Prykarpatsky, A. M. Samoilenko, D. L. Blackmore

Research output: Contribution to journalArticlepeer-review

Abstract

On the basis of the structure of Casimir elements associated with general Hopf algebras, we construct Liouville-Arnold integrable flows related to naturally induced Poisson structures on an arbitrary coalgebra and their deformations. Some interesting special cases, including coalgebra structures related to the oscillatory Heisenberg-Weil algebra and integrable Hamiltonian systems adjoint to them, are considered.

Original languageEnglish (US)
Pages (from-to)109-121
Number of pages13
JournalUkrainian Mathematical Journal
Volume56
Issue number1
DOIs
StatePublished - Jan 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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