6 papers
Imaginary reflections and discrete symmetries in the heterotic Monster
Lisa Carbone, Natalie M. Paquette
Let be the Monster finite simple group. We give an interpretation of certain discrete symmetries of a family of heterotic string compactifications to dimension…
-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…
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…
Equivariant simplicial reconstruction
Lisa Carbone, Vidit Nanda, Yusra Naqvi
We introduce and analyze parallelizable algorithms to compress and accurately reconstruct finite simplicial complexes that have non-trivial automorphisms. The compressed data -- ca…
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…
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…