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.
Citation
Shunsuke Murata. "Bernoulli-type relations in some noncommutative polynomial ring." Tsukuba J. Math. 34 (1) 97 - 116, August 2010. https://doi.org/10.21099/tkbjm/1283967410
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