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

Abstract

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.

26 pages

Cited by in corpus (1)

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