Generators and relations for (generalised) Cartan type superalgebras

Carbone, LisaRutgers University,Department of Mathematics, Rutgers University, Piscataway NJ, USA (författare)

In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional Lie algebras, but with additional types of nodes. For example, A(n-1,0) = s (1|n) can be constructed by adding a "gray" node to the Dynkin diagram of An-1 = s (n), corresponding to an odd null root. The Cartan superalgebras constitute a difierent class, where the simplest example is Wpnq, the derivation algebra of the Grassmann algebra on n generators. Here we present a novel construction of Wpnq, from the same Dynkin diagram as A(n-1,0), but with additional generators and relations.

Cederwall, Martin,1961Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden(Swepub:cth)tfemc (författare)
Palmkvist, Jakob,1980Chalmers tekniska högskola,Chalmers University of Technology,Department of Physics, Chalmers University of Technology, Göteborg, Sweden(Swepub:oru)jbpt (författare)
Rutgers UniversityDepartment of Mathematics, Rutgers University, Piscataway NJ, USA (creator_code:org_t)

Ingår i:Journal of Physics: Conference Series: IOP Publishing1194:11742-65881742-6596

Av författaren/redakt...: Carbone, Lisa; Cederwall, Marti ...; Palmkvist, Jakob ...

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