Scale for codimension growth of Poisson PI-algebras

DOI10.1007/s11856-022-2394-3arXiv2107.02424OpenAlexW3182614586MaRDI QIDQ6103901

Victor M. Petrogradsky

Publication date: 5 June 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02424

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

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

Cites Work

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• Poisson algebras of polynomial growth
• Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields
• The Freiheitssatz for Poisson algebras
• Poisson identities of enveloping algebras
• Polynomial identities for the Jordan algebra of a symmetric bilinear form
• A Lie algebra generalization of the Amitsur-Levitski theorem
• Exponential codimension growth of PI algebras: an exact estimate
• Poisson polynomial identities. II
• Exponential Schreier's formula for free Lie algebras and its applications
• Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
• Exponential generating functions and complexity of Lie varieties
• Identical relations in Lie algebras
• Solvability of Poisson algebras
• Solvable symmetric Poisson algebras and their derived lengths
• Correlation of Poisson algebras and Lie algebras in the language of identities
• Enumeration of algebras close to absolutely free algebras and binary trees
• Lie structure of truncated symmetric Poisson algebras
• Codimensions of algebras and growth functions
• Existence of identities in \(A \otimes B\)
• FREE CENTRE-BY-METABELIAN LIE RINGS
• Codimension Growth of Strong Lie Nilpotent Associative Algebras
• THE IDENTITIES OF A LIE ALGEBRA VIEWED AS A LIE RING
• Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions
• Poisson polynomial identities
• The tame and the wild automorphisms of polynomial rings in three variables
• On a conjecture about solvability of symmetric Poisson algebras
• Poisson PI algebras
• Free centre-by-metabelian Lie algebras in characteristic 2

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