Lisa Carbone

activity

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 2014 · math.GRShow all

2 papers · 2 filters

math.GR2014

Presentation of hyperbolic Kac-Moody groups over rings

Daniel Allcock, Lisa Carbone

Tits has defined Kac-Moody and Steinberg groups over commutative rings, providing infinite dimensional analogues of the Chevalley-Demazure group schemes. Here we establish simple e…

math.GR2014★ 2 cited

Weyl group orbits on Kac--Moody root systems

Lisa Carbone, Alexander Conway, Walter Freyn +1

Let $D$ be a Dynkin diagram and let $Π = {α_{1}, \dots, α_{ℓ}}$ be the simple roots of the corresponding Kac--Moody root system. Let $h$ denote the Cartan suba…