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Regular Strongly Typical Blocks of \({\mathcal{O}^{\mathfrak {q}}}\)

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Uppsala University, Box 480, SE-75106, Uppsala, Sweden

    Anders Frisk & Volodymyr Mazorchuk

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  1. Anders Frisk
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  2. Volodymyr Mazorchuk
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Correspondence to Volodymyr Mazorchuk.

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Communicated by Y. Kawahigashi

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Frisk, A., Mazorchuk, V. Regular Strongly Typical Blocks of \({\mathcal{O}^{\mathfrak {q}}}\) . Commun. Math. Phys. 291, 533–542 (2009). https://doi.org/10.1007/s00220-009-0799-z

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  • DOI: https://doi.org/10.1007/s00220-009-0799-z

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