MULTIVARIATE CHEBYSHEV POLYNOMIALS IN TERMS OF SINGULAR ELEMENTS

作者：Lyakhovsky V D^*

来源：Theoretical and Mathematical Physics, 2013, 175(3): 797-805.

• generalized Chebyshev polynomial
• semisimple Lie algebra
• representation theory
• Weyl group

We use the direct correspondence between Weyl anti-invariant functions and multivariate second-type Chebyshev polynomials to substantially simplify most operations with multivariate polynomials. We illustrate the obtained results by studying bivariate polynomials of the second type for root systems A(1) circle plus A(1), B-2, and G(2).

• 出版日期2013-6