16 citations · 43 across the 10 of their papers we have counts for
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math-ph2015★ 3 cited
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…
math-ph2015★ 16 cited
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…
math-ph2015★ 4 cited
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…