The maximum dimension of a Lie nilpotent subalgebra of M_{n}(F) of index m

J. Szigeti, J. van den Berg, L. van Wyk +1

The main result of this paper is the following: if F is any field and R is any F-subalgebra of the algebra of nxn matrices over F with Lie nilpotence index m, then the F-dimension…