Generators and relations for (generalised) Cartan type superalgebras
Paper in proceedings, 2018

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)=sl(1|n) can be constructed by adding a "gray" node to the Dynkin diagram of An−1=sl(n), corresponding to an odd null root. The Cartan superalgebras constitute a different class, where the simplest example is W(n), the derivation algebra of the Grassmann algebra on n generators. Here we present a novel construction of W(n), from the same Dynkin diagram as A(n−1,0), but with additional generators and relations.

Author

Martin Cederwall

Chalmers, Physics, Theoretical Physics

Jakob Palmkvist

Chalmers, Physics, Theoretical Physics

Group32
Prague, Czech Republic,

Beyond space and time

Swedish Research Council (VR), 2016-01-01 -- 2019-12-31.

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

Roots

Basic sciences

More information

Created

1/14/2019