Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth

DOI10.1016/j.aim.2023.109230arXiv2211.02815OpenAlexW4385748412MaRDI QIDQ6052166

Publication date: 21 September 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.02815

zbMATH Keywords

tensor products nil algebras Gel'fand-Kirillov dimension growth of algebras matrix wreath products nil Lie algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

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Trichotomy for finitely generated monomial algebras.
Growth, entropy and commutativity of algebras satisfying prescribed relations.
Groups of given intermediate word growth.
On the Kurosh problem for algebras of polynomial growth over a general field.
Gelfand-Kirillov dimensions of a tensor product
The growth functions of finitely generated semigroups
Primitive algebras with arbitrary Gelfand-Kirillov dimension
Monomial algebras
On matrix wreath products of algebras
Growth of permutational extensions.
The Gelfand-Kirillov dimension of a tensor product
Intermediate growth in Lie algebras and their enveloping algebras
Groups of oscillating intermediate growth.
On growth of Lie algebras, generalized partitions, and analytic functions
On the growth of algebras, semigroups, and hereditary languages
Nil restricted Lie algebras of oscillating intermediate growth
Growth of étale groupoids and simple algebras
Nil algebras with restricted growth
IMAGES OF GOLOD-SHAFAREVICH ALGEBRAS WITH SMALL GROWTH
A Few Properties of Just Infinite Algebras
An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
Universal Enveloping Algebras with Subexponential but not Polynomially Bounded Growth
On radicals of monomial algebras
On some types of intermediate growth in Lie algebras
On Lie algebras with nonintegral 𝑞-dimensions
Growth of finitely generated simple Lie algebras
Matrix wreath products of algebras and embedding theorems
Growth functions of lie algebras associated with associative algebras
Gaps and approximations in the space of growth functions

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