sigma08-069. 397KB Jun 04 2011 12:10:19 AM
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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
In the particular case when the Lie algebroid is the tangent bundle of a symplectic manifold, our reduction procedure is just the well known Cartan symplectic reduction in the
The Lie algebroid approach to Lagrangian Mechanics builds on the geometrical structure of the prolongation of a Lie algebroid [15] (where one can develop a geometric
Thus, we extended the Lie derivative approach to the study of Hamiltonian operators com- patible with a given Hamiltonian operator P from finite-dimensional Poisson structures [26,
Following Drinfel’d, we define the Yangian of the strange Lie superalgebra of Q n − 1 type and describe the current system of Yangian generators and defining relations, which is
They are closely related to symmetric and antisymmetric orbit functions which are received from exponential functions by symmetrization and antisymmetrization procedure by means of
In the present paper, some characteristic examples of the symmetries are presented for var- ious plasma theory models: electron magnetohydrodynamics, collisionless electron plasma
Considering right invariant L 2 or H 1 metrics on these infinite dimensional Lie groups, the following geodesic equations can be obtained: the Euler equation of motion of a
