Character Formulae for Ortho-symplectic Lie Superalgebras $\mathfrak{osp}(n|2)$

Details Character Formulae for Ortho-symplectic Lie Superalgebras $\mathfrak{osp}(n|2)$ Character Formulae for Ortho-symplectic Lie Superalgebras $\mathfrak{osp}(n|2)$

2009-09-17

arxiv.org/abs/0909.3134v2

Mathematics

Representation Theory

26 pages

Scientific paper

The character formula of any finite dimensional irreducible module
$L_\lambda$ for Lie superalgebra $\mathfrak{osp}(n|2)$ is computed. As a
by-product, the decomposition of tensor module $L_\lambda\otimes
\mathbb{C}^{n|2}$, where $\mathbb{C}^{n|2}$ is the natural representation, is
obtained.

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