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

Li Luo

Published 2009-09-17, updated 2010-01-22Version 2

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.