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

collaborators

Showing 2014Show all

3 papers · 1 filter

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…

hep-th2014★ 1 cited

Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories

Lisa Carbone, Scott H. Murray, Hisham Sati

For $G (R)$ a split, simply connected, semisimple Lie group of rank $n$ and $K$ the maximal compact subgroup of $G$ , we give a method for computing Iwasawa coordinates of $…