arXiv Open Access 2018

Representation theory of disconnected reductive groups

P. Achar W. Hardesty S. Riche

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Abstrak

We study three fundamental topics in the representation theory of disconnected algebraic groups whose identity component is reductive: (i) the classification of irreducible representations; (ii) the existence and properties of Weyl and dual Weyl modules; and (iii) the decomposition map relating representations in characteristic $0$ and those in characteristic $p$ (for groups defined over discrete valuation rings). For each of these topics, we obtain natural generalizations of the well-known results for connected reductive groups.

Topik & Kata Kunci

math.RT

Penulis (3)

P. Achar

W. Hardesty

S. Riche

Format Sitasi

APA MLA BibTeX

Achar, P., Hardesty, W., Riche, S. (2018). Representation theory of disconnected reductive groups. https://arxiv.org/abs/1810.06851

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓