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

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

doi:10.1023/B:UKMA.0000031706.91337.bd

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

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

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	109-121
Number of pages	13
Journal	Ukrainian Mathematical Journal
Volume	56
Issue number	1
DOIs	https://doi.org/10.1023/B:UKMA.0000031706.91337.bd
State	Published - Jan 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1023/B:UKMA.0000031706.91337.bd

Cite this

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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.",

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AU - Blackmore, D. L.

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AB - 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.

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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