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arxiv: 0909.3134 · v2 · submitted 2009-09-17 · 🧮 math.RT · math.QA

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

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keywords characterlambdamathbbmathfrakmoduleby-productcomputeddecomposition
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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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