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20062022
most citedClassification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits

41 citations · 112 across the 23 of their papers we have counts for

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Showing 2018 · math.RTShow all

3 papers · 2 filters

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★ 3 cited

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…

math.RT2018★ 12 cited

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…