Composition multiplicities of tensor products and branching multiplicities for GL(n)

Following work of Brundan and Kleshchev [3], which considered tensor<br/>products with the natural module (and its dual) for GL(n), we take the<br/>next fundamental module and explore the relationship between multiplicities<br/>of composition factors of tensor products of simple modules for GL(n) and<br/>branching multiplicities. In doing this we provide a method for determining<br/>the composition multiplicities for some composition factors of tensor products<br/>of simple modules with the wedge square of the dual natural module.