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Equivalence of Blocks for the General Linear Lie Superalgebra |
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| Authors: | Shun-Jen Cheng Volodymyr Mazorchuk Weiqiang Wang |
| Affiliation: | 1. Institute of Mathematics, Academia Sinica, 10617, Taipei, Taiwan 2. Department of Mathematics, Uppsala University, Box 480, 751 06, Uppsala, Sweden 3. Department of Mathematics, University of Virginia, Charlottesville, VA, 22904, USA |
| 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 ${mathcal{O}}$ for a general linear Lie superalgebra to an integral block of ${mathcal{O}}$ for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of ${mathcal{O}}$ . |
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