Algebres de Frobenius-Virasoro

Mathematics – Quantum Algebra

Scientific paper

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9 pages, in french

Scientific paper

In this note we associate to each Frobenius algebra a vertex algebra, the
simplest example being the Virasoro vertex algebra. This construction is
analogous to the procedure which associates to a Lie algebra with an invariant
bilinear form the vacuum module over the corresponding Kac-Moody Lie algebra.

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