Bernoulli-type Relations in Some Noncommutative Polynomial Ring
Rings and Algebras
2009-12-10 v1
Abstract
We find particular relations which we call "Bernoulli-type" in some noncommutative polynomial ring with a single nontrivial relation. More precisely, our ring is isomorphic to the universal enveloping algebra of a two-dimensional non-abelian Lie algebra. From these Bernoulli-type relations in our ring, we can obtain a representation on a certain left ideal with the Bernoulli numbers as structure constants.
Cite
@article{arxiv.0912.1711,
title = {Bernoulli-type Relations in Some Noncommutative Polynomial Ring},
author = {Shunsuke Murata},
journal= {arXiv preprint arXiv:0912.1711},
year = {2009}
}
Comments
19 pages