三维球面单演sl（2，C）-模的典范基
Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3
摘要：
三维齐次球面单演空间可以自然地看作sl（2，C）-模.作为有限维不可约sl（2，C）-模，它们有典范基，通过构造，典范基是正交的。本文证明了这些正交基构成Appell系统，并与S.博克和K。盖勒贝克此外，我们得到了这些基的元素的简单表达式的勒让德多项式。
英文摘要：
Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as sl(2,C)-modules. As finite-dimensional irreducible sl(2,C)-modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Guerlebeck. Moreover, we obtain simple expressions of elements of these bases in terms of the Legendre polynomials.
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