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arxiv: 0810.4758 · v1 · submitted 2008-10-27 · 🧮 math.RT · math-ph· math.MP

Regular strongly typical blocks of mathcal{O}^{mathfrak{q}}

classification 🧮 math.RT math-phmath.MP
keywords blocksmathcalmathfrakcategoryregularstronglytypicalalgebra
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We use the technique of Harish-Chandra bimodules to prove that regular strongly typical blocks of the category $\mathcal{O}$ for the queer Lie superalgebra $\mathfrak{q}_n$ are equivalent to the corresponding blocks of the category $\mathcal{O}$ for the Lie algebra $\mathfrak{gl}_n$.

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