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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
125/2006

Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra

Sofiane Bouarroudj, Pavel Grozman and Dimitry A. Leites

Abstract

Recently Alberto Elduque listed all simple and graded modulo 2 finite dimensional Lie algebras and superalgebras whose odd component is the spinor representation of the orthogonal Lie algebra equal to the even component, and discovered one exceptional such Lie superalgebra in characteristic 5. For this Lie superalgebra all inequivalent Cartan matrices (in other words, inequivalent systems of simple roots) are listed together with defining relations between analogs of its Chevalley generators.

Received:
Nov 9, 2006
Published:
Nov 9, 2006
MSC Codes:
17B5, 70F25
Keywords:
Elduque superalgebra, Lie superalgebra, Cartan matrix

Related publications

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

Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra