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arXiv · 1703.10632

PBW deformations of a Fomin-Kirillov algebra and other examples

I. Heckenberger·L. Vendramin
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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.

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BibTeXRIS

I. Heckenberger, L. Vendramin. 2017-03-30. PBW deformations of a Fomin-Kirillov algebra and other examples. https://doi.org/10.1007/s10468-018-9830-4

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