- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- Value sets of folding polynomials over finite fields
Value sets of folding polynomials over finite fields
Authors : Ömer Küçüksakalli
Pages : 1407-1413
View : 9 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Lie algebra, Weyl group, fixed point, orbit, stabilizer