PBW deformations of a Fomin-Kirillov algebra and other examples
Quantum Algebra
2023-05-30 v3 Representation Theory
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 FK3. Another one appeared in a paper of Garc\'ia 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.
Keywords
Cite
@article{arxiv.1703.10632,
title = {PBW deformations of a Fomin-Kirillov algebra and other examples},
author = {I. Heckenberger and L. Vendramin},
journal= {arXiv preprint arXiv:1703.10632},
year = {2023}
}
Comments
22 pages. Accepted for publication in Algebr. Represent. Theory