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Automorphisms and derivations of the insertion-elimination algebra and related graded Lie algebras

This paper addresses several structural aspects of the insertion-elimination algebra, a Lie algebra that can be realized in terms of tree-inserting and tree-eliminating operations on the set of rooted trees. In particular, we determine the finite-dimensional subalgebras, the automorphism group, the derivation group, and a generating set for the insertion-elimination Lie algebra. Many parts of the results are stated for a more general class of Lie algebras and reproduce results for the generalized Virasoro algebras.

preprint2016arXivOpen access
Matthew OndrusEmilie Wiesner
math.RA
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Matthew OndrusEmilie Wiesner

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