Modular invariants of a vector and a covector: A proof of a conjecture of Bonnafé and Kemper

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• 作者：Yin Chen^a ; ^{ychen@nenu.edu.cn} ; David L. Wehlau^b ; ^{wehlau@rmc.ca}
• 关键词：13A50
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：195-213
• 全文大小：412 K
• 卷排序：472

文摘

Consider a finite dimensional vector space V   over a finite field FqFq. We give a minimal generating set for the ring of invariants Fq[V⊕V⁎]GL(V)Fq[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 [3, Conjecture 3.1].