Mathematical Sciences: Affine and Hyperbolic Kac-Moody Algebras

这个项目涉及两类重要的Kac-Moody代数，仿射和双曲。主要研究人员将研究双曲代数的重数，以及构造剩余例外代数的工作。这项研究是在李代数的一般领域。Kac-Moody李代数与数学和物理的其他领域之间已经发现了丰富的联系，这使得这一领域特别吸引人。拟议的研究涉及这一活跃和令人兴奋的领域的许多中心问题。

This project involves two important classes of Kac-Moody algebras, the affine and the hyperbolic. The principal investigator will study the multiplicities in hyperbolic algebras, as well as, work on constructing the remaining exceptional algebras. The research is in the general area of Lie algebras. Fruitful connections have been found between the Kac-Moody Lie algebras and other areas of mathematics and physics which makes this a particularly attractive area. The proposed research deals with many central issues in this active and exciting area.