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June 2019 Thick representations and dense representations I
Kazunori Nakamoto, Yasuhiro Omoda
Kodai Math. J. 42(2): 274-307 (June 2019). DOI: 10.2996/kmj/1562032831

Abstract

We introduce special classes of irreducible representations of groups: thick representations and dense representations. Denseness implies thickness, and thickness implies irreducibility. We show that absolute thickness and absolute denseness are open conditions for representations. Thereby, we can construct the moduli schemes of absolutely thick representations and absolutely dense representations. We also describe several results and several examples on thick representations for developing a theory of thick representations.

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Kazunori Nakamoto. Yasuhiro Omoda. "Thick representations and dense representations I." Kodai Math. J. 42 (2) 274 - 307, June 2019. https://doi.org/10.2996/kmj/1562032831

Information

Published: June 2019
First available in Project Euclid: 2 July 2019

zbMATH: 07108013
MathSciNet: MR3980954
Digital Object Identifier: 10.2996/kmj/1562032831

Rights: Copyright © 2019 Tokyo Institute of Technology, Department of Mathematics

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Vol.42 • No. 2 • June 2019
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