Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Research output: Contribution to journalArticlepeer-review

Abstract

We remind known and establish new properties of the Dieudonné and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables.

Original languageEnglish
Pages (from-to)1-35
Number of pages35
JournalBulletin des Sciences Mathematiques
Volume127
Issue number1
DOIs
StatePublished - Jan 2003

Keywords

  • Non-commutative determinants
  • Plurisubharmonic functions
  • Quaternions

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