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Carlo Beenakker
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I have not found a source where Thomas Zink explains the name, however arXiv:1906.00899 explains it as an abbreviation of “not-necessarily-nilpotent” (or $3n$-) displays. See also Travaux de Zink, page 343.

Carlo Beenakker
  • 188.2k
  • 18
  • 448
  • 651