Cyclotomic identity
id:
cyclotomic-identity-259-9414848
title:
Cyclotomic identity
text:
In mathematics, the cyclotomic identity states that where M is Moreau's necklace-counting function, and μ is the classic Möbius function of number theory. The name comes from the denominator, 1 − z j, which is the product of cyclotomic polynomials. The left hand side of the cyclotomic identity is the generating function for the free associative algebra on α generators, and the right hand side is the generating function for the universal enveloping algebra of the free Lie algebra on α generators.
brand slug:
wiki
category slug:
encyclopedia
description:
Expresses 1/(1-az) as an infinite product using Moreau's necklace-counting function
original url:
https://en.wikipedia.org/wiki/Cyclotomic_identity
date created:
date modified:
2020-12-25T11:23:27Z
main entity:
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image:
fields total:
13
integrity:
14