与根系相关的Bernstein-Szego多项式
Bernstein-Szego Polynomials Associated with Root Systems
摘要：
我们介绍多元推广的Bernstein-Szego多项式，这是与根系的复杂的简单李代数。本文所讨论的多元多项式推广了与根系有关的Macdonald的Hall-Littlewood多项式。对于A1型根系（对应于李代数SL（2;C）），恢复了经典的Bernstein-Szego多项式.
英文摘要：
We introduce multivariate generalizations of the Bernstein-Szego polynomials, which are associated to the root systems of the complex simple Lie algebras. The multivariate polynomials in question generalize Macdonald's Hall-Littlewood polynomials associated with root systems. For the root system of type A1 (corresponding to the Lie algebra SL (2;C)) the classic Bernstein-Szego polynomials are recovered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
