Exponential Schreier's formula for free Lie algebras and its applications

DOI10.1007/BF02366349zbMath0983.17007OpenAlexW2019325464MaRDI QIDQ1296179

Victor M. Petrogradsky

Publication date: 16 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02366349

zbMATH Keywords

free algebraLie algebragrowth functionexponential generating functionvariety of algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01)

Related Items

On freep-superalgebras, Enumeration of algebras close to absolutely free algebras and binary trees, Scale for codimension growth of Poisson PI-algebras, Schreier's type formulae and two scales for growth of Lie algebras and groups, Unnamed Item, Codimension Growth of Strong Lie Nilpotent Associative Algebras

Cites Work

• Schreier's formula for free Lie algebras
• Intermediate growth in Lie algebras and their enveloping algebras
• Exponential generating functions and complexity of Lie varieties
• GROWTH OF FINITELY GENERATED POLYNILPOTENT LIE ALGEBRAS AND GROUPS, GENERALIZED PARTITIONS, AND FUNCTIONS ANALYTIC IN THE UNIT CIRCLE
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