This is an oxidation-reduction (redox) reaction:
9 Mn8/3 + 24 e- → 9 Mn0 (reduction)
8 Al0 - 24 e- → 8 AlIII (oxidation)
Mn3O4 is an oxidizing agent, Al is a reducing agent.
Reactants:

Trimanganese tetraoxide 
, Trimanganese tetroxide
, Manganese oxide 
, Manganese tetroxide (as Mn)
, Manganese tetroxide
; Brownish-black powder. [Note: Fumes are generated whenever manganese oxides are heated strongly in air.] 
Products:



, Aluminum trioxide
, Alpha-Aluminum oxide
, Abramant
, Aluminum trioxide [a-Alumina]
, [Note: α-Alumina is the main component of technical grade alumina. Corundum is natural Al2O3. Emery is an impure crystalline variety of Al2O3.] 
; White, odorless, crystalline powder. 