4 papers · 1 filter
On -systems of symmetrizable Kac-Moody algebras
K. N. Raghavan, Krishanu Roy, S. Viswanath
Given a symmetrizable Kac-Moody algebra $\mathfrack{g}$, we study its -systems, which are subsets of real roots, the pairwise differences of whose elements are not roots. Such s…
Lattice of dominant weights of affine Kac-Moody algebras
Krishanu Roy
The dual space of the Cartan subalgebra in a Kac-Moody algebra has a partial ordering defined by the rule that two elements are related if and only if their difference is a non-neg…
-systems of symmetrizable Kac-Moody algebras
Lisa Carbone, K. N. Raghavan, Biswajit Ransingh +2
As part of his classification of regular semisimple subalgebras of semisimple Lie algebras, Dynkin introduced the notion of a -system. This is a subset of the roots such that pa…
Maximal closed subroot systems of real affine root systems
Krishanu Roy, R. Venkatesh
We completely classify and give explicit descriptions of the maximal closed subroot systems of real affine root systems. As an application we describe a procedure to get the classi…