Alexander Zuevsky, “Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras”, SIGMA, 2009, Volume 5,105, 11 pp.

This article is cited in 1 paper

Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras

Alexander Zuevsky^ab

^a Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany
^b School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Abstract: We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.

Keywords: continual Lie algebras; noncommutative integrable models.

MSC: 35Q58; 37K05; 37K30

Received: August 21, 2009; in final form November 16, 2009; Published online November 19, 2009

Language: English

DOI: 10.3842/SIGMA.2009.105