On properties of the lower central series of associative algebras

Nabilah Abughazalah, Pavel Etingof

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We give an accessible introduction into the theory of lower central series of associative algebras, exhibiting the interplay between algebra, geometry and representation theory that is characteristic for this subject, and discuss some open questions. In particular, we provide shorter and clearer proofs of the main results of this theory. We also discuss some new theoretical and computational results and conjectures on the lower central series of the free algebra in two generators modulo a generic homogeneous relation.

Original languageEnglish
Article number1650187
JournalJournal of Algebra and Its Applications
Volume15
Issue number10
DOIs
Publication statusPublished - 1 Dec 2016

Fingerprint

Lower Central Series
Associative Algebra
Algebra
Free Algebras
Representation Theory
Computational Results
Modulo
Generator
Geometry

Keywords

  • associative algebra
  • free algebra
  • Lower central series

Cite this

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On properties of the lower central series of associative algebras. / Abughazalah, Nabilah; Etingof, Pavel.

In: Journal of Algebra and Its Applications, Vol. 15, No. 10, 1650187, 01.12.2016.

Research output: Contribution to journalArticle

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