Algebres de Frobenius-Virasoro

Research paper by Maxime Rebout, Vadim Schechtman

Indexed on: 11 Jul '05Published on: 11 Jul '05Published in: Mathematics - Quantum Algebra


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.