arXiv Analytics

Sign in

arXiv:2311.17803 [math.RT]AbstractReferencesReviewsResources

On the root system of a Kac-Moody superalgebra

Maria Gorelik, Shay Kinamon Kerbis

Published 2023-11-29Version 1

In this paper we extend several results about root systems of Kac-Moody algebras to superalgebra context. In particular, we describe the root bases and the sets of imaginary roots.

Related articles: Most relevant | Search more
arXiv:1308.4056 [math.RT] (Published 2013-08-19)
On counting orbits in root systems
arXiv:1108.2940 [math.RT] (Published 2011-08-15, updated 2012-05-14)
The dominance hierarchy in root systems of Coxeter groups
arXiv:0710.5751 [math.RT] (Published 2007-10-30)
A Vanishing Result for Toric Varieties Associated with Root Systems