arXiv Open Access 2019

The Principal Representations of Reductive Algebraic Groups with Frobenius Maps

Junbin Dong

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Abstrak

We introduce the principal representation category $\mathscr{O}({\bf G})$ of reductive algebraic groups with Frobenius maps and put forward a conjecture that this category is a highest weight category. When $\Bbbk$ is complex field $\mathbb{C}$, we provide some evidences of this conjecture. We also study certain kind of bound quiver algebras whose representations are related to the principal representation category $\mathscr{O}({\bf G})$ .

Topik & Kata Kunci

math.RT

Penulis (1)

Junbin Dong

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APA MLA BibTeX

Dong, J. (2019). The Principal Representations of Reductive Algebraic Groups with Frobenius Maps. https://arxiv.org/abs/1907.03271

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓