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math.RA2018
Closed sets of real roots in Kac-Moody root systems
Pierre-Emmanuel Caprace, Timothée Marquis
In this note, we provide a complete description of the closed sets of real roots in a Kac-Moody root system.
math.RA2006★ 4 cited
A uniform bound on the nilpotency degree of certain subalgebras of Kac-Moody algebras
Pierre-Emmanuel Caprace
Let be a Kac-Moody algebra and be Borel subalgebras of opposite signs. The intersection $\mathfrak{b} = \mathfrak{b}_1 \cap \mathfra…