On the representation theory of non-semisimple (graded) deformed Fomin-Kirillov algebras

2020/11/30 by A. Alia, Alia, A., I. Heckenberger +1
Mathematics · #16G10 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16G10 #msc:17B37

paper · pdf · doi:10.48550/arxiv.2011.14777

22 pages

arxiv created 2020/11/30 · openalex publication_date 2020/11/30 · arxiv updated 2020/12/01 · openalex created_date 2020/12/07 · openalex updated_date 2026/07/28

Abstract

This work is motivated to study the representation theory of the non-semisimple deformed Fomin-Kirillov algebras D₄(α₁, α₂). In particular, we consider Gabriel's theorem applications in regard of constructing algebraic presentations.

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