Cartan matrices and presentations of Cunha and Elduque superalgebras

2006/11/13 by Sofiane Bouarroudj, Bouarroudj, Sofiane, Pavel Grozman +3
Mathematics · Physics and Astronomy · #17B50 #70F25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:17B50 #msc:70F25

paper · pdf · doi:10.48550/arxiv.math/0611391

43 pages, 10 figures, LaTeX2e

arxiv created 2006/11/13 · openalex publication_date 2006/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

All inequivalent Cartan matrices (in other words, inequivalent systems of simple roots) of the ten simple exceptional finite dimensional Lie superalgebras in characteristic 3, recently identified by Cunha and Elduque as constituents of Elduque's superization of the Freudenthal Magic Square, are listed together with defining relations between analogs of their Chevalley generators.

Related

• Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra
• Models of some simple modular Lie superalgebras
• On reflections of roots in positive characteristic
• An extended Freudenthal Magic Square in characteristic 3
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