Equivalence of blocks for the general linear Lie superalgebra

Shun-Jen Cheng; Volodymyr Mazorchuk; Weiqiang Wang

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Equivalence of blocks for the general linear Lie superalgebra

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arxiv 1301.1204 v2 pith:76STG2WM submitted 2013-01-07 math.RT

Equivalence of blocks for the general linear Lie superalgebra

Shun-Jen Cheng , Volodymyr Mazorchuk , Weiqiang Wang This is my paper

classification math.RT

keywords generallinearblockblocksequivalenceintegralsuperalgebraarbitrary

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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.

Equivalence of blocks for the general linear Lie superalgebra

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