Pre- and Post-Lie Algebras: The Algebro-Geometric View

Autor:	Gunnar Fløystad, Hans Munthe-Kaas
Rok vydání:	2018
Předmět:	Pure mathematics Series (mathematics) Mathematics::Quantum Algebra Mathematics::Rings and Algebras Lie algebra Substitution (algebra) Algebraic geometry Affine transformation Composition (combinatorics) Hopf algebra Automorphism Mathematics
Zdroj:	Computation and Combinatorics in Dynamics, Stochastics and Control ISBN: 9783030015923
DOI:	10.1007/978-3-030-01593-0_12
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::861b1e3a2b866c1725f69ddf88edd884 https://doi.org/10.1007/978-3-030-01593-0_12 Zobrazit plný text záznamu