  In this paper, we will point out a gap in the proof of a theorem of G.Hill
(J. Algebra, 174 (1995), 610-635) and will give new arguments to give a remedy
in the non-dyadic case modulo a conjecture on the triviality of certain Schur
multiplier associated with a symplectic space over finite field.
  The new argument uses the Schr\"odinger representation of the Heisenberg
group associated with a symplectic space over a finite field, and a simple
application of Weil representation. This argument is applicable to the regular
characters in general which include the cuspidal cases as well as the regular
split cases.
