16 citations · 43 across the 10 of their papers we have counts for
4 papers · 1 filter
Automorphic Lie Algebras and Cohomology of Root Systems
Vincent Knibbeler, Sara Lombardo, Jan A. Sanders
A cohomology theory of root systems emerges naturally in the context of Automorphic Lie Algebras, where it helps formulating some structure theory questions. In particular, one can…
Hereditary Automorphic Lie Algebras
Vincent Knibbeler, Sara Lombardo, Jan A. Sanders
We show that Automorphic Lie Algebras which contain a Cartan subalgebra with a constant spectrum, called hereditary, are completely described by 2-cocycles on a classical root syst…
Higher dimensional Automorphic Lie Algebras
Vincent Knibbeler, Sara Lombardo, Jan A. Sanders
The paper presents the complete classification of Automorphic Lie Algebras based on , where the symmetry group is finite and the orbit is any of t…
Invariants of Automorphic Lie Algebras
Vincent Knibbeler
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s in the field of integrable systems. They are subalgebras of Lie algebras over a ring…