Sesión Álgebra No Conmuntativa y Homológica

Diciembre 15, 15:30 ~ 16:10

Friezes, strings and cluster variables

ASSEM, Ibrahim

This is a report on joint work with G. Dupont, R. Schiffler and D. Smith. To any walk in a quiver, we associate a Laurent polynomial. When this walk is the strng of a string module over a 2-Calabi-Yau tilted algebra, we prove that the associated Laurent polynomial coincides with the cluster characted corresponding to the string module, up to a normalising monomial factor that we explicit.

Autores: ASSEM, Ibrahim.