41 citations · 112 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
Infinite dimensional Chevalley groups and Kac-Moody groups over
Lisa Carbone, Dongwen Liu, Scott H. Murray
Let be a symmetrizable generalized Cartan matrix, which is not of finite or affine type. Let be the corresponding Kac-Moody algebra over a commutative ring w…
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…