Abstract

We show that every block of category O for the general linear Lie superalgebra glm|n(k) is equivalent to some corresponding block of category O for the queer Lie superalgebra qm+n(k). This implies the truth of the Kazhdan–Lusztig conjecture for the so-called type A blocks of category O for the queer Lie superalgebra as formulated by Cheng, Kwon and Wang.

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