Lie dimension subrings

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DC Field	Value	Language
dc.contributor.author	Bartholdi, L.	-
dc.contributor.author	Passi, I.B.S.	-
dc.date.accessioned	2020-12-07T06:58:15Z	-
dc.date.available	2020-12-07T06:58:15Z	-
dc.date.issued	2015	-
dc.identifier.citation	International Journal of Algebra and Computation, 25(8)	en_US
dc.identifier.other	10.1142/S0218196715500423	-
dc.identifier.uri	https://www.worldscientific.com/doi/10.1142/S0218196715500423	-
dc.identifier.uri	http://hdl.handle.net/123456789/2731	-
dc.description.abstract	We compare, for 𝐿 a Lie ring over the integers, its lower central series (𝛾𝑛(𝐿))𝑛≥1 and its dimension series defined by 𝛿𝑛(𝐿):=𝐿∩𝜛𝑛(𝐿) in the universal enveloping algebra of 𝐿. We show that 𝛾𝑛(𝐿)=𝛿𝑛(𝐿) for all 𝑛≤3, but give an example showing that they may differ if 𝑛=4. We introduce simplicial methods to describe these results, and to serve as a possible tool for further study of the dimension series.	en_US
dc.language.iso	en_US	en_US
dc.publisher	World Scientific Publishing Co. Pte Ltd	en_US
dc.subject	Lie rings	en_US
dc.subject	dimension problem	en_US
dc.subject	simplicial objects	en_US
dc.subject	enveloping algebras	en_US
dc.title	Lie dimension subrings	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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