The Frobenius-Virasoro algebra and Euler equations
Zuo, Dafeng
Original · EN
We introduce an F-valued generalization of the Virasoro algebra, called the Frobenius-Virasoro algebra virF, where F is a Frobenius algebra over R. We also study Euler equations on the regular dual of virF, including the F-KdV equation and the F-CH equation and the F-HS equation, and discuss their Hamiltonian properties.
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