Abstract
Let be a connected reductive algebraic group defined over a global field and a maximal -parabolic subgroup of . The constant attached to is defined as an analogue of Hermite's constant. This constant depends only on and in contrast to the previous definition of generalized Hermite constants ([W1]). Some functorial properties of are proved. In the case that is a function field of one variable over a finite field, is computed.
Citation
Takao WATANABE. "Fundamental Hermite constants of linear algebraic groups." J. Math. Soc. Japan 55 (4) 1061 - 1080, October, 2003. https://doi.org/10.2969/jmsj/1191418764
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