STRICTLY IMAGINARY ROOTS OF KAC-MOODY ALGEBRAS

[摘要] This paper explores properties of strictly imaginary roots of Kac-Moody algebras. (A strictly imaginary root is an imaginary root gamma such that for any real root alpha either gamma + alpha or gamma - alpha is a root.) Its two major results are a simple test for whether or not a given imaginary root is strictly imaginary, and a complete characterization of those Kac-Moody algebras having the property that all of their imaginary roots are strictly imaginary. (C) 1994 Academic Press, Inc.

[发布日期] 1994-08-15