Numerical constructions involving Chebyshev polynomials |
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Authors: | V D Lyakhovsky |
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Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | We propose a new algorithm for the character expansion of tensor products of finite-dimensional irreducible representations of simple Lie algebras. The algorithm produces valid results for the algebras B 3, C 3, and D 3. We use the direct correspondence between Weyl anti-invariant functions and multivariate second-kind Chebyshev polynomials. We construct the triangular trigonometric polynomials for the algebra D 3. |
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