Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Details Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

2001-04-23

arxiv.org/abs/math/0104209v3

Bull. Sci. Math. 127 (2003), no. 1, 1--35.

Mathematics

Complex Variables

43 pages, misprints corrected, references added

Scientific paper

We recall 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.
Then we introduce and briefly discuss quaternionic Monge-Amp\'ere equations.

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