Schreier's formula for free Lie algebras
type: Item
instance of: scholarly article
title: Schreier's formula for free Lie algebras
zbMATH Open document ID: 1021.17006
published in: Archiv der Mathematik
publication date: 2003-07-21T00:00:00Z
review text: The author establishes an analogue of Schreier's formula for subalgebras of free Lie algebras in terms of formal power series. Similar formulae are given for free Lie \(p\)-algebras and superalgebras. As an application the author computes the Hilbert-Poincaré series for some finitely generated solvable Lie algebras and groups.
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 1507821
zbMATH Keywords: Lie algebra
zbMATH Keywords: Lie \(p\)-algebra
zbMATH Keywords: Lee superalgebra
zbMATH Keywords: free algebra
zbMATH Keywords: solvable Lie algebra
zbMATH Keywords: formal power series
author: Victor Petrogradsky
reviewed by: Boris Vernikov
MaRDI profile type: Publication
full work available at URL: s000130050468
OpenAlex ID: W2000805649
DOI: 10.1007/S000130050468
description: scientific article; zbMATH DE number 1507821