Abstract
Recently Brian Hartwig and the second author found a presentation for the three-point 2 loop algebra by generators and relations. To obtain this presentation they defined a Lie algebra ⊠ by generators and relations, and displayed an isomorphism from ⊠ to the three-point 2 loop algebra. In this article, we describe the finite-dimensional irreducible ⊠-modules from multiple points of view.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors thank Brian Curtin, Eric Egge, Mark MacLean, Kazumasa Nomura, and the anonymous referee for giving this paper a close reading and offering many valuable suggestions.
Tatsuro Ito was supported in part by JSPS grant 18340022.
Notes
Communicated by A. Elduque.