Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 5 (2009), 105, 11 pages      arXiv:0911.3875      http://dx.doi.org/10.3842/SIGMA.2009.105

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

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

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

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

Key words: continual Lie algebras; noncommutative integrable models.

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