Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

Aleksandrov, 1938, Die gemischte Diskriminanten und die gemischte Volumina, Math. Sbornik, 3, 227 Aleksandrov, 1958, Dirichlet's problem for the equation Det‖zij‖=ϕ(z1,…,zn,z,x1,…,xn). I, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astr., 13, 5 Alesker Alesker Artin, 1957 Aslaksen, 1996, Quaternionic determinants, Math. Intelligencer, 18, 57, 10.1007/BF03024312 Aubin, 1982, 252 Barnard, 1935 Bedford, 1976, The Dirichlet problem for a complex Monge–Ampère equation, Invent. Math., 37, 1, 10.1007/BF01418826 Brackx, 1982, 76 Chen, 1992, Definition of determinant and Cramer solutions over the quaternion field, Acta Math. Sinica, 35, 432 Chen, 1991, Inverse matrix and properties of double determinant over quaternion field, Sci. China Ser. A, 34, 528 Chern, 1969, Intrinsic norms on a complex manifold, 119 Dieudonné, 1943, Les déterminants sur un corps non commutatif, Bull. Soc. Math. France, 71, 27, 10.24033/bsmf.1345 Dyson, 1970, Correlations between eigenvalues of a random matrix, Comm. Math. Phys., 19, 235, 10.1007/BF01646824 Dyson, 1972, Quaternionic determinants, Helv. Phys. Acta, 45, 289 Fueter, 1935, Die Funktionentheotie der Differentialgleichungen Δu=0 und ΔΔu=0 mit vier reelen Variablen, Comment. Math. Helv., 7, 307, 10.1007/BF01292723 Fueter, 1936, Über die analytische Darstellung der regulären Functionen einer Quaternionenvariablen, Comment. Math. Helv., 8, 371, 10.1007/BF01199562 Gelfand, 1966 Gelfand, 1991, Determinants of matrices over noncommutative rings, Funktsional. Anal. i Prilozhen., 25, 13 Gelfand, 1996, Noncommutative Vieta theorem and symmetric functions, 93 Gelfand, 1997, Quasideterminants. I, Selecta Math. (N.S.), 3, 517, 10.1007/s000290050019 Gelfand Gelfand Gürsey, 1980, Complex and quaternionic analyticity in chiral and gauge theories. I, Ann. Physics, 128, 29, 10.1016/0003-4916(80)90056-1 Hamilton, 1969 G. Henkin, Private communication Jacobson, 1939, Normal semi-linear transformations, Amer. J. Math., 61, 45, 10.2307/2371384 Jacobson, 1939, An application of E.H. Moore's determinant of a Hermitian matrix, Bull. Amer. Math. Soc., 45, 745, 10.1090/S0002-9904-1939-07072-9 Joyce, 1998, Hypercomplex algebraic geometry, Quart. J. Math. Oxford Ser. (2), 49, 129, 10.1093/qjmath/49.194.129 Lelong, 1968 Maxwell, 1995 Mehta, 1974, Determinants of quaternionic matrices, J. Math. Phys. Sci., 8, 559 Mehta, 1977 Moisil, 1931, Sur les quaternions monogènes, Bull. Sci. Math. Ser., 55, 168 Moore, 1922, On the determinant of an hermitian matrix of quaternionic elements, Bull. Amer. Math. Soc., 28, 161 Palamodov, 1999, Holomorphic synthesis of monogenic functions of several quaternionic variables, J. Anal. Math., 78, 177, 10.1007/BF02791133 Pertici, 1993, Quaternion regular functions and domains of regularity, Boll. Un. Mat. Ital. B (7), 7, 973 Piccinni, 1982, Dieudonné determinant and invariant real polynomials on gl(n,H), Rend. Mat. (7), 2, 31 Quillen, 1998, Quaternionic algebra and sheaves on the Riemann sphere, Quart. J. Math. Oxford Ser. (2), 49, 163, 10.1093/qjmath/49.194.163 Rauch, 1977, The Dirichlet problem for the multidimensional Monge–Ampère equation, Rocky Mountain J. Math., 7, 345, 10.1216/RMJ-1977-7-2-345 Rosenberg, 1994, 147 Sudbery, 1979, Quaternionic analysis, Math. Proc. Cambridge Philos. Soc., 85, 199, 10.1017/S0305004100055638 Van Praag, 1989, Sur les déterminants des matrices quaternioniennes, Helv. Phys. Acta, 62, 42 Van Praag, 1991, Sur la norme réduite du déterminant de Dieudonné des matrices quaternioniennes, J. Algebra, 136, 265, 10.1016/0021-8693(91)90047-C