IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
Autor/es:
HECKENBERGER, I.; VENDRAMIN, L.
Revista:
Algebras and Representation Theory
Editorial:
SPRINGER
Referencias:
Año: 2019 vol. 22 p. 1513 - 1532
ISSN:
1386-923X
Resumen:
We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin–Kirillov algebra E3. Another one appeared in a paper of García Iglesias and Vay. As a consequence of our methods, we determine when the deformations are semisimple and we are able to produce PBW bases and polynomial identities for these deformations.