info:eu-repo/semantics/article
PBW deformations of a Fomin–Kirillov Algebra and other examples
Date
2018-09-26Registration 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
CONICET Digital
CONICET
Author
Heckenberger, I.
Vendramin, Claudio Leandro
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.
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