PBW deformations of a Fomin–Kirillov Algebra and other examples

Heckenberger, I.; Vendramin, Claudio Leandro

info:eu-repo/semantics/article

Date

2018-09-26

Registration in:

Heckenberger, I.; Vendramin, Claudio Leandro; PBW deformations of a Fomin–Kirillov Algebra and other examples; Springer; Algebras and Representation Theory; 22; 6; 26-9-2018; 1513-1532

1386-923X

http://hdl.handle.net/11336/136213

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4359701

Author

Heckenberger, I.

Vendramin, Claudio Leandro

Institutions

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Abstract

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.