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arXiv · 1205.4859

On a question of Drinfeld on the Weil representation I: the finite field case

Chun-Hui Wang
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Abstract

Let F be a finite field of odd cardinality, and let G= GL2(F). The group G \times G \times G acts on F^2 \otimes F^2 \otimes F^2 via symplectic similitudes, and has a natural Weil representation. Answering a question rasised by V. Drinfeld, we decompose that representation into irreducibles. We also decompose the analogous representation of GL2(A), where A is a cubic algebra over F.

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Chun-Hui Wang. 2013-12-31. On a question of Drinfeld on the Weil representation I: the finite field case. https://doi.org/10.1016/j.optcom.2012.10.047

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