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arXiv · 1301.1204

Equivalence of blocks for the general linear Lie superalgebra

Shun-Jen Cheng·Volodymyr Mazorchuk·Weiqiang Wang
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Abstract

We develop a reduction procedure which provides an equivalence (as highest weight categories) from an arbitrary block (defined in terms of the central character and the integral Weyl group) of the BGG category O for a general linear Lie superalgebra to an integral block of O for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of O.

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Shun-Jen Cheng, Volodymyr Mazorchuk, Weiqiang Wang. 2013-12-18. Equivalence of blocks for the general linear Lie superalgebra. https://doi.org/10.1007/s11005-013-0642-5

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