Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)
Representation Theory
2012-04-03 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0911.0735,
title = {Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)},
author = {Yucai Su and R. B. Zhang},
journal= {arXiv preprint arXiv:0911.0735},
year = {2012}
}
Comments
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