Generating sets for coordinate rings of character varieties

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• 作者：Adam S. Sikora ^{asikora@buffalo.edu}
• 关键词：14D20 ; 14L30 ; 20C15
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：217
• 期：11
• 页码：2076-2087
• 全文大小：456 K

文摘

We find finite, reasonably small, generator sets of the coordinate rings of -character varieties of finitely generated groups for all classical matrix groups . This result together with the method of Gr?bner basis gives an algorithm for describing character varieties by explicit polynomial equations.

Additionally, we describe finite sets of generators of the fields of rational functions on -character varieties for all exceptional algebraic groups .