N-fold supersymmetry is an extension of the ordinary supersymmetry in one-dimensional quantum mechanics. One of its major property is quasi-solvability, which means that energy eigenvalues can be obtained for a portion of the spectra. We show that recently found type A N-fold supersymmetry can be constructed by using sl(2) algebra, which provides a basis for the quasi-solvability. By this construction we find a condition for the type A N-fold supersymmetry which is less restrictive than the condition known previously. Several explicitly known models are also examined in the light of this construction. (C) 2001 Elsevier Science B.V. All rights reserved. References: 35
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机译：N-折叠超对称是一维量子力学中普通超对称的延伸。它的主要特性之一是准可解性，这意味着可以获得部分光谱的能量特征值。我们证明了最近发现的 A 型 N 型超对称性可以通过使用 sl（2） 代数来构造，这为准可解性提供了基础。通过这种构造，我们找到了 A 型 N 倍超对称性的条件，它比以前已知的条件限制更少。根据这种结构，还研究了几个明确已知的模型。（C） 2001 Elsevier Science B.V.保留所有权利。[参考文献： 35]
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