Exterior powers of the standard E6-module: An elementary approach,International Journal of Algebra and Computation

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Exterior powers of the standard E6-module: An elementary approach
International Journal of Algebra and Computation ( IF 0.5 ) Pub Date : 2020-02-21 , DOI: 10.1142/s0218196720500332
A. M. Semenov ₁ , A. N. Zubkov _{2,

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Affiliation

For the standard [Formula: see text]-dimensional representation [Formula: see text] of the exceptional group [Formula: see text] of type [Formula: see text] we prove that [Formula: see text] is a Donkin pair if and only if the characteristic of a ground field is greater than [Formula: see text]. We also develop an elementary approach to describe submodule structure of any exterior power of [Formula: see text].

中文翻译：

标准 E6 模块的外部功率：一种基本方法

对于 [Formula: see text] 类型的异常群 [Formula: see text] 的标准 [Formula: see text] 维表示 [Formula: see text] 我们证明 [Formula: see text] 是 Donkin 对，如果并且仅当地场的特征大于[公式：见正文]。我们还开发了一种基本方法来描述[公式：见正文]的任何外部幂的子模块结构。

更新日期：2020-02-21

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