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math.RT2019
Generators and relations for (generalised) Cartan type superalgebras
Lisa Carbone, Martin Cederwall, Jakob Palmkvist
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 L…
math.RT2018
Commutator relations and structure constants for rank 2 Kac--Moody algebras
Lisa Carbone, Matt Kownacki, Scott H. Murray +1
We completely determine the structure constants between real root vectors in a rank 2 Kac--Moody algebra . Our description is computationally efficient, even in the r…
math.RT2018
Generators and relations for Lie superalgebras of Cartan type
Lisa Carbone, Martin Cederwall, Jakob Palmkvist
We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Cartan type. These are part of a wider class of Lie superalgebras, the so-called tens…