D. Penta

activity

20102016

most citedWeyl group orbits on Kac--Moody root systems

2 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.RA2016★ 1 cited

Decomposition of the rank 3 Kac-Moody Lie algebra $F$ with respect to the rank 2 hyperbolic subalgebra $F ib$

Diego Penta

In 1983 Feingold-Frenkel studied the structure of a rank 3 hyperbolic Kac-Moody algebra $F$ containing the affine KM algebra $A_{1}^{(1)}$ . In 2004 Feingold-Nicolai showed…

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…

math.RT2010

Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits

Lisa Carbone, Sjuvon Chung, Leigh Cobbs +4

We give a criterion for a Dynkin diagram, equivalently a generalized Cartan matrix, to be symmetrizable. This criterion is easily checked on the Dynkin diagram. We obtain a simple…

Decomposition of the rank 3 Kac-Moody Lie algebra F with respect to the rank 2 hyperbolic subalgebra Fib

Weyl group orbits on Kac--Moody root systems

Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits

Decomposition of the rank 3 Kac-Moody Lie algebra $F$ with respect to the rank 2 hyperbolic subalgebra $F ib$