Cross characteristic representations of even characteristic symplectic groups

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Representations of finite groups of Lie type (2008, unknown): “When q is even, the low-dimensional complex characters of Sp2n(q) ' Spin2n+1(q) were classified up to an already good enough bound (q − 1)(qn−1 − 1)(qn−1 − q(2))/2(q(4) − 1) in [24] and therefore it is not in our”
The Ore conjecture (2010, background): “To do this, we consider the three unitary-Weil characters of H := Sp2n(2) as described in [24]: αn of degree (2 n − 1)(2n−1 − 1)/3, βn of degree (2n + 1)(2n−1 + 1)/3, and ζ1 n of degree (2 2n − 1)/3.”