17 citations · 91 across the 25 of their papers we have counts for
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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.RA2018★ 2 cited
On the structure of Kac-Moody algebras
Timothée Marquis
Let be a symmetrisable generalised Cartan matrix, and let be the corresponding Kac-Moody algebra. In this paper, we address the following fundamental question…
math.RA2015★ 2 cited
Isomorphisms of twisted Hilbert loop algebras
Timothée Marquis, Karl-Hermann Neeb
The closest infinite dimensional relatives of compact Lie algebras are Hilbert-Lie algebras, i.e. real Hilbert spaces with a Lie algebra structure for which the scalar product is i…