仿射Kac-Moody李代数的生成元配对问题

PAIRING PROBLEM OF GENERATORS IN AFFINE KAC-MOODY LIE ALGEBRAS

本文讨论仿射Kac-Moody李代数的生成元配对问题.对任意的xl(k)型仿射Kac—Moody李代数g(A)以及任意的非零虚根向量x,也证明了:存在某个y∈g(A),使得g’(A)包含在由x和y所生成的李代数之中.

This paper discusses the pair problem of generators in affine Kac-Moody Lie algebras. For any affine Kac-Moody algebra g (A) of Xl(k) type and arbitrary nonzero imaginary root vector x, the authors prove that there exists some y ∈ g(A), such that g'(A) is contained in the Lie algebra generated by x and y.