Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions

Abstract

Let {{\displaystyle \mathcal{D}}}_N be the multicomponent twisted Heisenberg-Virasoro algebra. We compute the second continuous cohomology group with coeficients in ℂ and study the bihamiltonian Euler equations associated to {{\displaystyle \mathcal{D}}}_N and its central extensions.

Keywords

Bihamiltonian Euler equation / multicomponent twisted Heisenberg-Virasoro algebra

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