Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Semyon Alesker

doi:10.1016/S0007-4497(02)00004-0

Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Semyon Alesker^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1-35
Number of pages	35
Journal	Bulletin des Sciences Mathematiques
Volume	127
Issue number	1
DOIs	https://doi.org/10.1016/S0007-4497(02)00004-0
State	Published - Jan 2003

Keywords

Non-commutative determinants
Plurisubharmonic functions
Quaternions

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10.1016/S0007-4497(02)00004-0

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title = "Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables",

abstract = "We remind known and establish new properties of the Dieudonn{\'e} and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables.",

keywords = "Non-commutative determinants, Plurisubharmonic functions, Quaternions",

author = "Semyon Alesker",

note = "Funding Information: This work was supported by grant MH-43356 from the National Institute of Mental Health. I thank Dare Baldwin for her helpful comments on an earlier draft of this chapter.",

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KW - Quaternions

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Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Abstract

Keywords

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