Study computes invariant ring using orthogonal group on standard representation, indicating mathematical applications.
Let [Formula: see text] be an odd prime and [Formula: see text] be the prime field of order [Formula: see text]. Consider a [Formula: see text]-dimensional orthogonal group [Formula: see text] over [Formula: see text] acting on the standard representation [Formula: see text] and the dual space [Formula: see text]. We compute the invariant ring [Formula: see text] via explicitly exhibiting a minimal generating set. Our method provides an application of the [Formula: see text]-invariants appearing in the covariant theory of finite groups.
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Ren et al. (2026) studied this question.
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