Schreier's type formulae and two scales for growth of Lie algebras and groups

DOI10.1007/978-3-031-32707-0_5arXiv2202.01939OpenAlexW4385355196MaRDI QIDQ6200496

Victor M. Petrogradsky

Publication date: 22 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01939

zbMATH Keywords

growthgenerating functionssolvable Lie algebrascodimension sequenceidentical relationspolynilpotent Lie algebras

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

• Non-integrality of the PI-exponent of special Lie algebras
• Growth in enveloping algebras
• Homogeneous polynomial identities
• Polynomial identities for the Jordan algebra of a symmetric bilinear form
• Growth of varieties of Lie algebras
• Infinite dimensional Lie superalgebras
• Exponential codimension growth of PI algebras: an exact estimate
• Exponential Schreier's formula for free Lie algebras and its applications
• An example of a variety of Lie algebras with a fractional exponent
• On generating functions for subalgebras of free Lie superalgebras
• Schreier's formula for free Lie algebras
• Intermediate growth in Lie algebras and their enveloping algebras
• Exponential generating functions and complexity of Lie varieties
• On growth of Lie algebras, generalized partitions, and analytic functions
• Correlation of Poisson algebras and Lie algebras in the language of identities
• Enumeration of algebras close to absolutely free algebras and binary trees
• Codimensions of algebras and growth functions
• Existence of identities in \(A \otimes B\)
• GROWTH OF FINITELY GENERATED POLYNILPOTENT LIE ALGEBRAS AND GROUPS, GENERALIZED PARTITIONS, AND FUNCTIONS ANALYTIC IN THE UNIT CIRCLE
• Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions
• GROWTH OF SOLVABLE LIE SUPERALGEBRAS
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• On the growth of almost soluble Lie algebras
• Free polynilpotent groups
• Sur les groupes nilpotents et les anneaux de Lie
• Scale for codimension growth of Poisson PI-algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Schreier's type formulae and two scales for growth of Lie algebras and groups