Filtrations and distortion in infinite-dimensional algebras.

DOI10.1016/j.jalgebra.2010.09.019zbMath1236.16039arXiv1002.0015OpenAlexW2097788688MaRDI QIDQ536022

Alexander Yu. Ol'shanskii, Yu. A. Bakhturin

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0015

zbMATH Keywords

universal enveloping algebrasembeddingsfree Lie algebrasfinitely presented algebrasgenerators and relationsgrowth of algebrasdistortion functionsdegree filtrationsfinitely generated associative algebrasinfinite-dimensional algebrastame filtrationstwo-generated algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (5)

Periodic Algebras Generated by Groups ⋮ Principal Filtrations of Lie Algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ Embedding construction based on amalgamations of group relators ⋮ Embedding into 2-generated simple associative (Lie) algebras

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• Subgroups of finitely presented groups
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• ALGORITHMIC PROBLEMS IN VARIETIES

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