论文标题
与LAX对有关的正交功能
Orthogonal functions related to Lax pairs in Lie algebras
论文作者
论文摘要
我们以$ 2 $的参数为代数，以各种表示形式研究一对宽松对。 $ L $的本征函数的重叠系数和标准基础是根据正交多项式和正交功能给出的。此外，在某些表示中研究了运算符$ l $的特征$ l $ $ \ mathfrak {sl}（d+1，\ mathbb c）$的特征函数。
We study a Lax pair in a $2$-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of $L$ and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Moreover, eigenfunctions for the operator $L$ for a Lax pair for $\mathfrak{sl}(d+1,\mathbb C)$ are studied in certain representations.
