Abstract:We explicitly construct non-tempered cusp forms on the orthogonal group O(1,5) of signature (1+, 5−). Given a definite quaternion algebra B over Q, the orthogonal group is attached to the indefinite quadratic space of rank 6 with the anisotropic part defined by the reduced norm of B. Our construction can be viewed as a generalization of [22] to the case of any definite quaternion algebras, for which we note that [22] takes up the case where the discriminant of B is two. Unlike [22] the method of the constructi… Show more
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