Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties

Mahouton Norbert Hounkonnou, Partha Guha, Tudor Ratiu

Motivated by the work of Kupershmidt (J. Nonlin. Math. Phys. 6 (1998), 222 --245) we discuss the occurrence of left symmetry in a generalized Virasoro algebra. The multiplication r…