Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)

Details Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2) Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)

2009-11-04

arxiv.org/abs/0911.0735v2

Journal of Algebra 357 (2012), 94-115

Mathematics

Representation Theory

LaTeX, 23 pages, update reference (adding one reference)

Scientific paper

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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