Complex representations of reductive algebraic groups with Frobenius maps in the category $\mathscr{X}$

Junbin Dong

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arXiv · 2309.00341

Complex representations of reductive algebraic groups with Frobenius maps in the category $\mathscr{X}$

Junbin Dong

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Abstract

In this paper we introduce an abelian category $\mathscr{X}(\bf G)$ to study the complex representations of a reductive algebraic groups $\bf G$ with Frobenius map. We classify all the simple objects in $\mathscr{X}(\bf G)$ and show that this category is a highest weight category.

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BibTeX RIS

Junbin Dong. 2023-09-01. Complex representations of reductive algebraic groups with Frobenius maps in the category $\mathscr{X}$. https://arxiv.org/abs/2309.00341

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