Geodesic
Defining relations for classical Lie superalgebras without Cartan matrices
Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 259-275.

Voir la notice de l'article provenant de la source International Press of Boston

The analogs of Chevalley generators are offered for simple (and close to them) $\mathbb{Z}$-graded complex Lie algebras and Lie superalgebras of polynomial growth without Cartan matrix. We show how to derive the defining relations between these generators and explicitly write them for a “most natural” (“distinguished” in terms of Penkov and Serganova) system of simple roots. The results are given mainly for Lie superalgebras whose component of degree zero is a Lie algebra (other cases being left to the reader). Observe presentations of exceptional Lie superalgebras and Lie superalgebras of hamiltonian vector fields.
DOI : 10.4310/HHA.2002.v4.n2.a12
Classification : 17A70, 17B01, 17B70
Keywords: Lie superalgebras, defining relations 
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P. Grozman; D. Leites; E. Poletaeva. Defining relations for classical Lie superalgebras without Cartan matrices. Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 259-275. doi : 10.4310/HHA.2002.v4.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a12/

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