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

2015/11/11 by Chen, Yin, Wehlau, David L.
#13A50 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.03619

Abstract

Consider a finite dimensional vector space V over a finite field \mathbbF_q. We give a minimal generating set for the ring of invariants \mathbbF_q[V ⊕ V^*]^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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