On the representation theory of non-semisimple (graded) deformed Fomin-Kirillov algebras
A. Alia, I. Heckenberger
TL;DR
This paper investigates the representation theory of non-semisimple deformed Fomin-Kirillov algebras, focusing on algebraic presentations and applications of Gabriel's theorem to understand their structure.
Contribution
It provides new insights into the representation theory of these algebras and explores algebraic presentations using Gabriel's theorem.
Findings
Characterization of the algebraic structure of $\, ext{D}_4( ext{alpha}_1, ext{alpha}_2)$
Application of Gabriel's theorem to construct algebraic presentations
Insights into the non-semisimple nature of deformed Fomin-Kirillov algebras
Abstract
This work is motivated to study the representation theory of the non-semisimple deformed Fomin-Kirillov algebras . In particular, we consider Gabriel's theorem applications in regard of constructing algebraic presentations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology