On the Jacobian matrices of generalized Chebyshev polynomials

Date

2023-6-19

Author

İleri, Ahmet

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Any semisimple complex Lie algebra admits a root system, and a multivariable generalization of Chebyshev polynomials is attached to each root system. In this thesis, a practical way to compute the determinant and each entry of the Jacobian matrix of these generalized Chebyshev polynomials in terms of characters of irreducible Lie algebra representations, using the theory of exponential invariants and Weyl character formula, is described and explicit results for rank two cases is given.

Subject Keywords

Lie cebirleri, üstel değişmezler, Chebyshev polinomları, Weyl karakter formülü

URI

https://hdl.handle.net/11511/104826

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Graduate School of Natural and Applied Sciences, Thesis