Bibcode
Roger, C.; Ovsienko, V.
Referencia bibliográfica
eprint arXiv:math/9812074
Fecha de publicación:
12
1998
Número de citas
1
Número de citas referidas
1
Descripción
We classify nontrivial deformations of the standard embedding of the Lie
algebra $Vect(S^1)$ of smooth vector fields on the circle, into the Lie
algebra~$PD(S^1)$ of pseudodifferential symbols on $S^1$. This approach
leads to deformations of the central charge induced on $Vect(S^1)$ by
the canonical central extension of $PD(S^1)$. As a result we obtain a
quantized version of the second Bernoulli polynomial.