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

Authors

A. K. Prykarpatsky, AGH University of Krakow
A. M. Samoilenko, National Academy of Sciences of Ukraine
D. L. Blackmore, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-2004

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. © 2004 Plenum Publishing Corporation.

Identifier

23944490734 (Scopus)

Publication Title

Ukrainian Mathematical Journal

External Full Text Location

https://doi.org/10.1023/B:UKMA.0000031706.91337.bd

e-ISSN

15739376

ISSN

00415995

First Page

109

Last Page

121

Issue

1

Volume

56

Recommended Citation

Prykarpatsky, A. K.; Samoilenko, A. M.; and Blackmore, D. L., "Hopf algebras and integrable flows related to the Heisenberg-Weil coalgebra" (2004). Faculty Publications. 20648.
https://digitalcommons.njit.edu/fac_pubs/20648