广义Kac-Moody代数的虚根与权

Imaginary Roots and Weights for Generalized Kac-Moody Algebras

本文讨论了广义Kac-Moody代数的虚根与不可约模L(A)的权相互“刻划”的关系,同时定义了广义Kac—Moody代数的严格虚根并给出了严格虚根的一些性质.它们推广了文献[2]和[3]中的某些结果.

In this paper we discussed the relations between the imaginary roots and weightsof the module L(A)over a GKM algebra.We also defined the strictly imaginary roots of aGKM algebra and gave some properties about them.These results are generalizations in[2]and[3].