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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