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Bernoulli-type relations in some noncommutative polynomial ring. - MaRDI portal

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Bernoulli-type relations in some noncommutative polynomial ring.

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Publication:1957993

DOI10.21099/TKBJM/1283967410zbMATH Open1280.16021arXiv0912.1711OpenAlexW2962700961MaRDI QIDQ1957993

Author name not available (Why is that?)

Publication date: 28 September 2010

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/0912.1711



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