Inversion Sets and Quotient Root Systems

Ivan Dimitrov, Cole Gigliotti, Etan Ossip +2

The main result of this paper is a recursive description of all decompositions \[ Δ^+ = Φ_1 \sqcup Φ_2 \sqcup \dots \sqcup Φ_k \] of the positive roots $\hat{I}{”}^{+}$ of an arbitrary r…