|
|||||
 |
|
|
|
|
|
A not-so-simple
Lie bracket expansion
Julie Beier and McCabe Olsen
Vol. 7 (2014), No. 5, 647–655
|
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. |
Keywords
Lie algebra, toroidal algebra
|
Mathematical Subject Classification 2010
Primary: 17B67
|
Milestones
Received: 14 May 2013
Revised: 3 February 2014
Accepted: 3 March 2014
Published: 1 August 2014
Communicated by Robert W. Robinson
|
Authors |
| Julie Beier | |
| Department of Mathematics Earlham College 801 National Road West Drawer 138 Richmond, IN 47374 United States |
|
| McCabe Olsen | |
| Mercer University Department of Mathematics 1400 Coleman Avenue Macon, GA 31207 United States |
|
|
