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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
124/2006

Cartan matrices and presentations of Cunha and Elduque superalgebras

Sofiane Bouarroudj, Pavel Grozman and Dimitry A. Leites

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.

Received:
Nov 9, 2006
Published:
Nov 9, 2006
MSC Codes:
17B50, 70F25
Keywords:
Cartan prolongation, Elduque superalgebra, Lie superalgebra

Related publications

Preprint
2006 Repository Open Access
Sofiane Bouarroudj, Pavel Grozman and D. A. Leites

Cartan matrices and presentations of Cunha and Elduque superalgebras