# Automorphisms and Derivations of the Insertion–Elimination Algebra and Related Graded Lie Algebras

@article{Ondrus2016AutomorphismsAD, title={Automorphisms and Derivations of the Insertion–Elimination Algebra and Related Graded Lie Algebras}, author={Matthew Ondrus and Emilie Wiesner}, journal={Letters in Mathematical Physics}, year={2016}, volume={106}, pages={925-949} }

This paper addresses several structural aspects of the insertion–elimination algebra $${\mathfrak{g}}$$g, 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 of $${\mathfrak{g}}$$g, the automorphism group of $${\mathfrak{g}}$$g, the derivation Lie algebra of $${\mathfrak{g}}$$g, and a generating set. Several results are stated in terms of Lie algebras admitting a… Expand

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