摘要

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 of , the automorphism group of , the derivation Lie algebra of , and a generating set. Several results are stated in terms of Lie algebras admitting a triangular decomposition and can be used to reproduce results for the generalized Virasoro algebras.

  • 出版日期2016-7