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Pre- and post-lie algebras: The algebro-geometric view

Fløystad, Gunnar; Munthe-Kaas, Hans
Conference object, Peer reviewed, Journal article
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URI
https://hdl.handle.net/1956/22181
Date
2019
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  • Department of Mathematics [650]
Original version
https://doi.org/10.1007/978-3-030-01593-0_12
Abstract
We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras and MKW Hopf algebras are then coordinate rings of the infinite-dimensional affine varieties consisting of series of trees, resp. Lie series of ordered trees. Furthermore we describe the Hopf algebras which are coordinate rings of the automorphism groups of these varieties, which govern the substitution law in pre- and post-Lie algebras.
Publisher
Springer
Journal
Abel Symposia
Copyright
Copyright Springer Nature Switzerland AG 2018

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