Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Algebraic structures of Euler numbers

Author: I-Chiau Huang
Journal: Proc. Amer. Math. Soc. 140 (2012), 2945-2952
MSC (2010): Primary 11B68; Secondary 16S30
Published electronically: April 30, 2012
MathSciNet review: 2917068
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Abstract: We define a finitely generated $ \mathbb{Q}$-algebra $ \mathfrak{E}$ with a module structure over the universal enveloping algebra of a Lie algebra. Identities of Euler numbers are investigated using the algebraic structures of $ \mathfrak{E}$.

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I-Chiau Huang
Affiliation: Institute of Mathematics, Academia Sinica, 6F, Astronomy-Mathematics Building, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, Republic of China

Keywords: Euler number, identity, Lie algebra, skew polynomial ring, universal enveloping algebra
Received by editor(s): November 9, 2010
Published electronically: April 30, 2012
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.