Gauss sum for the adjoint representation of $G{L}_n\left(q\right)$ and $S{L}_n\left(q\right)$

 Access to full text

 Full (PDF)

1. [1] A. Borel, Linear Algebraic Groups, Benjamin, New York, 1969. Zbl0186.33201
2. [2] R. W. Carter, Finite Groups of Lie Type; Conjugacy Classes and Complex Characters, Wiley, New York, 1985. Zbl0567.20023
3. [3] W. Fulton and J. Harris, Representation Theory, Springer, New York, 1991. Zbl0744.22001
4. [4] J. E. Humphreys, Linear Algebraic Groups, Grad. Texts in Math. 21, Springer, 1975. 
5. [5] D. S. Kim, Gauss sums for general and special linear groups over a finite field, Arch. Math. (Basel) 69 (1997), 297-304. Zbl1036.11528
6. [6] D. S. Kim, Gauss sums for $O^{-}(2n,q)$, Acta Arith. 80 (1997), 343-365. 
7. [7] D. S. Kim, Gauss sum for $U(2n+1,q^2)$, J. Korean Math. Soc. 34 (1997), 871-894. Zbl1036.11527
8. [8] D. S. Kim, Gauss sums for $O(2n+1,q)$, Finite Fields Appl. 4 (1998), 62-86. Zbl0937.11058
9. [9] D. S. Kim, Gauss sum for $U(2n,q^2)$, Glasgow Math. J. 40 (1998), 79-95. Zbl0915.11061
10. [10] D. S. Kim, Gauss sums for symplectic groups over a finite field, Monatsh. Math., to appear. Zbl1036.11529
11. [11] D. S. Kim and I.-S. Lee, Gauss sums for $O^{+}(2n,q)$, Acta Arith. 78 (1996), 75-89. 
12. [12] D. S. Kim and Y. H. Park, Gauss sums for orthogonal groups over a finite field of characteristic two, ibid. 82 (1997), 331-357. 
13. [13] I.-S. Lee and K. H. Park, Gauss sums for $G_2\left(q\right)$, Bull. Korean Math. Soc. 34 (1997), 305-315. Zbl0891.11059
14. [14] K.-H. Park, Gauss sum for representations of $G{L}_n\left(q\right)$ and $S{L}_n\left(q\right)$, thesis, Seoul National University, 1998.