最高权＾sl_2-模的sl_2-分解(英文)

Irreducible sl_2-decomposition for a highest weight ＾sl_2-module

本文主要研究仿射李代数^sl_2的最高权不可约模L(∧_0).由于3维单李代数sl_2可以看作^sl_2的子李代数,则L(∧_0)自然地成为sl_2-模.我们给出了L(∧_0)作为sl_2-模的不可约分解.

In this paper, we study the irreducible highest weight module L（∧0） of affine Lie algebra ^sl2. Since the three-dimensional simple algebra sl2 is regarded as a Lie subalgebra of ^sl2, L（∧0） naturally becomes a sl2-module. We present the irreducible decomposition of L（A0） as a sl2-module.