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Value sets of folding polynomials over finite fields
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Date
2019-01-01
Author
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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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.