Gauss sum for the adjoint representation of $GL_{n}(q)$ and $SL_{n}(q)$

Yeon-Kwan Jeong; In-Sok Lee; Hyekyoung Oh; Kyung-Hwan Park

ArticleOriginal scientific text

Title

Gauss sum for the adjoint representation of $G L_{n} (q)$ and $S L_{n} (q)$

Authors ¹, ¹, ¹, ¹

Affiliations

Department of Mathematics, Seoul National University, Seoul 151-742, Korea

Keywords

ENG

adjoint representation,

G L_{n} (q)

,

S L_{n} (q)

, Gauss sum,

P G L_{n} (q)

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D. S. Kim, Gauss sums for $O^{- (2 n, q)}$ , Acta Arith. 80 (1997), 343-365.
D. S. Kim, Gauss sum for $U (2 n + 1, q^{2})$ , J. Korean Math. Soc. 34 (1997), 871-894.
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D. S. Kim and Y. H. Park, Gauss sums for orthogonal groups over a finite field of characteristic two, ibid. 82 (1997), 331-357.
I.-S. Lee and K. H. Park, Gauss sums for $G_{2} (q)$ , Bull. Korean Math. Soc. 34 (1997), 305-315.
K.-H. Park, Gauss sum for representations of $G L_{n} (q)$ and $S L_{n} (q)$ , thesis, Seoul National University, 1998.

Additional information

http://matwbn.icm.edu.pl/ksiazki/aa/aa95/aa9511.pdf https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/95/1/73932/gauss-sum-for-the-adjoint-representation-of-gl-n-q-and-sl-n-q

Title

Gauss sum for the adjoint representation of GLn(q) and SLn(q)

Affiliations

Keywords

Bibliography

Additional information

Gauss sum for the adjoint representation of $G L_{n} (q)$ and $S L_{n} (q)$