Yucai Su, R. B. Zhang
Published 2009-11-04, updated 2009-12-18Version 2
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.
Comments: LaTeX, 23 pages, update reference (adding one reference)
Journal: Journal of Algebra 357 (2012), 94-115
Semisimplicity of the $DS$ functor for the orthosymplectic Lie superalgebra
A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra $\mathfrak{osp}(m,2|2n)$
Second cohomology groups for algebraic groups and their Frobenius kernels
![QR code for arXiv:0911.0735 [math.RT]](http://oss.arxitics.com/images/favicon.svg)