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2014 A not-so-simple Lie bracket expansion
Julie Beier, McCabe Olsen
Involve 7(5): 647-655 (2014). DOI: 10.2140/involve.2014.7.647

Abstract

Lie algebras and quantum groups are not usually studied by an undergraduate. However, in the study of these structures, there are interesting questions that are easily accessible to an upper-level undergraduate. Here we look at the expansion of a nested set of brackets that appears in relations presented in a paper of Lum on toroidal algebras. We illuminate certain terms that must be in the expansion, providing a partial answer for the closed form.

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Julie Beier. McCabe Olsen. "A not-so-simple Lie bracket expansion." Involve 7 (5) 647 - 655, 2014. https://doi.org/10.2140/involve.2014.7.647

Information

Received: 14 May 2013; Revised: 3 February 2014; Accepted: 3 March 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1342.17015
MathSciNet: MR3245841
Digital Object Identifier: 10.2140/involve.2014.7.647

Subjects:
Primary: 17B67

Keywords: Lie algebra , toroidal algebra

Rights: Copyright © 2014 Mathematical Sciences Publishers

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Vol.7 • No. 5 • 2014
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