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math.RA2019
-systems of symmetrizable Kac-Moody algebras
Lisa Carbone, K. N. Raghavan, Biswajit Ransingh +2
As part of his classification of regular semisimple subalgebras of semisimple Lie algebras, Dynkin introduced the notion of a -system. This is a subset of the roots such that pa…
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…