Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2). (arXiv:0911.0735v1 [math.RT])

The composition factors and their multiplicities are determined forgeneralised Verma modules over the orthosymplectic Lie superalgebra osp(k|2).The results enable us to obtain explicit formulae for the formal characters anddimensions of the finite-dimensional irreducible modules. Applying theseresults, we also compute the » Full text »