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A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two

Zhongming Tang·Zhe-xian Wan
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Abstract

Let ${\mathbb F}_q$ be a finite field of characteristic two and ${\mathbb F}_q(X_1,...,X_n)$ a rational function field. We use matrix methods to obtain explicit transcendental bases of the invariant subfields of orthogonal groups and pseudo-symplectic groups on ${\mathbb F}_q(X_1,...,X_n)$ over ${\mathbb F}_q$.

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Zhongming Tang, Zhe-xian Wan. 2004-11-20. A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two. https://arxiv.org/abs/math/0411451

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