|
|||||
|
|
|
|
|
|
|
|
|
A class of
irreducible integrable modules for the extended baby TKK
algebra
Xuewu Chang and Shaobin Tan |
|
Vol. 252 (2011), No. 2, 293–312
|
Abstract |
|
The baby TKK algebra is a core of the extended affine Lie algebra of type A1 over a semilattice in ℝ2. In this paper, we classify the irreducible integrable weight modules for the extended baby TKK algebra under the assumption that its center acts nontrivially. |
Keywords
Integrable module, EALA, TKK algebra, Jordan algebra
|
Mathematical Subject Classification 2010
Primary: 17BXX
Secondary: 17B60, 17B67
|
Milestones
Received: 15 November 2010
Revised: 10 December 2010
Accepted: 12 January 2011
Published: 29 October 2011
|
Authors |
| Xuewu Chang | |
| School of Mathematical
Sciences Xiamen University Xiamen, 361005 China |
|
| Shaobin Tan | |
| School of Mathematical
Sciences Xiamen University Xiamen, 361005 China |
|
|
