On properties of the lower central series of associative algebras
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1508.00943.pdf
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307.86 KB
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Author(s)
Abughazalah, Nabilah
Etingof, Pavel I
Date Issued
December 2015
Journal
Journal of Algebra and Its Applications
Publisher
World Scientific
Citation
Abughazalah, Nabilah and Pavel Etingof. “On Properties of the Lower Central Series of Associative Algebras.” Journal of Algebra and Its Applications 15, 10 (December 2016): 1650187
Version
Author's final manuscript
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. Keywords: Lower central series; associative algebra; free algebra
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://dx.doi.org/10.1142/S0219498816501875
