Fundamental Hermite constants of linear algebraic groups
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概要
- 論文の詳細を見る
Let G be a connected reductive algebraic group defined over a global field k and Q a maximal k-parabolic subgroup of G. The constant γ(G, Q, k) attached to (G, Q) is defined as an analogue of Hermites constant. This constant depends only on G, Q and k in contrast to the previous definition of generalized Hermite constants ([{W1}]). Some functorial properties of γ(G, Q, k) are proved. In the case that k is a function field of one variable over a finite field, γ(GL<SUB>n</SUB>, Q, k) is computed.
- 社団法人 日本数学会の論文
- 2003-10-01
著者
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Watanabe Takao
Department Of Mathematics Graduate School Of Science Osaka University
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Watanabe Takao
Departmant Of Mathematics Faculty Of Science Osaka University
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