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.
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After the seminar we will take the speaker to lunch.
This will be the final Algebra Seminar for 2009.
See the Algebra Seminar web page for information about other seminars in the series.
James East -- jamese@maths.usyd.edu.au
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