Yucai Su (University of Science and Technology China)
Friday 11th December, 12.05-12.55pm, Carslaw 375
Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)
This talk is based on recent joint work with R.B. Zhang. The composition factors and their multiplicities are determined for generalised Verma modules over the orthosymplectic Lie superalgebra osp(k|2). The results enable us to obtain explicit formulae for the formal characters and dimensions of the finite-dimensional irreducible modules. Applying these results, we also compute the first and second cohomology groups of the Lie superalgebra with coefficients in finite-dimensional Kac modules and irreducible modules.