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Research Article

On character formulae for Weil representations for unitary groups over finite fields

Pages 4679-4686 | Received 28 Dec 2020, Accepted 03 May 2021, Published online: 31 May 2021

References

  • Deligne, P. (1977). Cohomologie Étale. Séminaire de Géométrie Algébrique du Bois-Marie SGA 4 1/2. Lecture Notes in Mathematics, Vol. 569. Berlin: Springer-Verlag.
  • Deligne, P. (1980). La conjecture de Weil. II. Inst. Hautes´ Etudes Sci. Publ. Math. 52(1):137–252. DOI: 10.1007/BF02684780.
  • Gérardin, P. (1977). Weil representations associated to finite fields. J. Algebra 46(1):54–101. DOI: 10.1016/0021-8693(77)90394-5.
  • Hotta, R., Matsui, K. (1978). On a lemma of Tate-Thompson. Hiroshima Math. J. 8(2):255–268. DOI: 10.32917/hmj/1206135455.
  • Imai, N., Tsushima, T. (2018). Geometric construction of Heisenberg–Weil representations for finite unitary groups and Howe correspondences. arXiv:1812.10226.

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