Value sets of folding polynomials over finite fields

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2019-01-01

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Küçüksakallı, Ömer

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Let k be a positive integer that is relatively prime to the order of the Weyl group of a semisimple complex Lie algebra g. We find the cardinality of the value sets of the folding polynomials P-g(k)(x) is an element of Z[x] of arbitrary rank n >= 1, over finite fields. We achieve this by using a characterization of their fixed points in terms of exponential sums.

Subject Keywords

Lie algebra, Weyl group, Fixed point, Orbit, Stabilizer

URI

https://hdl.handle.net/11511/39796

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1812-64

Collections

Department of Mathematics, Article

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Citation Formats

Ö. Küçüksakallı, “Value sets of folding polynomials over finite fields,” TURKISH JOURNAL OF MATHEMATICS, pp. 1407–1413, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39796.