Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnafé and Kemper

Yin Chen; David L. Wehlau

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arXiv · 1511.03619

Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnafé and Kemper

Yin Chen·David L. Wehlau

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Abstract

Consider a finite dimensional vector space $V$ over a finite field $\mathbb{F}_q$. We give a minimal generating set for the ring of invariants $\mathbb{F}_q[V \oplus V^*]^{\text{GL}(V)}$, and show that this ring is a Gorenstein ring but is not a complete intersection. These results confirm a conjecture of Bonnafé and Kemper.

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Yin Chen, David L. Wehlau. 2016-08-14. Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnafé and Kemper. https://arxiv.org/abs/1511.03619

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