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

preprint2010arXivOpen access

Abstract

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

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