Involve: A Journal of Mathematics
- Volume 7, Number 5 (2014), 647-655.
A not-so-simple Lie bracket expansion
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.
Involve, Volume 7, Number 5 (2014), 647-655.
Received: 14 May 2013
Revised: 3 February 2014
Accepted: 3 March 2014
First available in Project Euclid: 20 December 2017
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Beier, Julie; Olsen, McCabe. A not-so-simple Lie bracket expansion. Involve 7 (2014), no. 5, 647--655. doi:10.2140/involve.2014.7.647. https://projecteuclid.org/euclid.involve/1513733726