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arXiv · 0911.0735

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

Yucai Su·R. B. Zhang
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Abstract

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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BibTeXRIS

Yucai Su, R. B. Zhang. 2009-11-04. Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2). https://arxiv.org/abs/0911.0735

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