Turkish Journal of Mathematics
Abstract
Let $k$ be a positive integer that is relatively prime to the order of the Weyl group of a semisimple complex Lie algebra $\mf{g}$. We find the cardinality of the value sets of the folding polynomials $P_\mf{g}^k(\mb{x}) \in \Z[\mb{x}]$ of arbitrary rank $n \geq 1$, over finite fields. We achieve this by using a characterization of their fixed points in terms of exponential sums.
DOI
10.3906/mat-1812-64
Keywords
Lie algebra, Weyl group, fixed point, orbit, stabilizer
First Page
1407
Last Page
1413
Recommended Citation
KÜÇÜKSAKALLI, ÖMER
(2019)
"Value sets of folding polynomials over finite fields,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 25.
https://doi.org/10.3906/mat-1812-64
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/25
