Thick representations and dense representations I

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Author(s)

    • Nakamoto Kazunori
    • Center for Medical Education and Sciences Faculty of Medicine University of Yamanashi
    • Omoda Yasuhiro
    • Department of Arts and Science National Institute of Technology Akashi College

Abstract

<p>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.</p>

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 42(2), 274-307, 2019

    Department of Mathematics, Tokyo Institute of Technology

Codes

  • NII Article ID (NAID)
    130007674785
  • Text Lang
    ENG
  • ISSN
    0386-5991
  • Data Source
    J-STAGE 
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