Coefficients of folding polynomials attached to Lie algebras of rank two

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2021-7-9

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Aydoğdu, Muhammed

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Let g be a Lie algebra over a field F, and let h be a Cartan subalgebra of g. The dual space h∗ of h forms a root system. Reflections in the hyperplanes orthogonal to the simple roots of h∗ generate the Weyl group of g. If h is the generalized cosine function associated with the Weyl group of g, then for a nonnegative integer k, the generalized Chebyshev polynomial associated with g is defined by Pkg(h(x)) = h(kx). In this thesis, general formulae for PkB2 and PkG2 will be found and some algebraic properties of the coefficients of generalized Chebyshev polynomials attached to Lie algebras of rank two will be investigated.

Subject Keywords

Lie Algebra, Root Systems, Weyl Group, Folding Polynomials

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https://hdl.handle.net/11511/91351

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Aydoğdu, “Coefficients of folding polynomials attached to Lie algebras of rank two,” M.S. - Master of Science, Middle East Technical University, 2021.