IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Lie algebra structure of the first Hochschild cohomology space of gentle algebras and Brauer graph algebras
Autor/es:
SIBYLLE SCHROLL; A. SOLOTAR; CRISTIAN CHAPARRO ACOSTA
Lugar:
Chengdu
Reunión:
Congreso; Conference on Lie and Jordan algebras, their representations and applications; 2020
Institución organizadora:
Tianyuan Mathematical Center in Southwest China
Resumen:
In this talk I will explain how to determine the first Hochschild homology and cohomology spacesof a gentle algebra in terms of the associated quiver and the relations. This leads to an explicitdescription of the Lie algebra structure of the first Hochschild cohomology space of special biserialalgebras (and hence of Brauer graph algebras with multiplicity one in each vertex) based on theHochschild cohomology of trivial extensions of gentle algebras.
