https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 The maximum dimension of a subspace of nilpotent matrices of index 2 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:7996 n and suppose that r is the maximum rank of any matrix in V. The object of this paper is to give an elementary proof of the fact that dim V ≤ r(n − r). We show that the inequality is sharp and construct all such subspaces of maximum dimension. We use the result to find the maximum dimension of spaces of anti-commuting matrices and zero subalgebras of special Jordan Algebras.]]> Sat 24 Mar 2018 08:42:37 AEDT ]]> On the dimension of linear spaces of nilpotent matrices https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:25721 Sat 24 Mar 2018 07:33:30 AEDT ]]> Rational homogeneous algebras https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22533 1, then A2 = 0.]]> Sat 24 Mar 2018 07:15:42 AEDT ]]>