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arXiv:1301.1204 [math.RT]AbstractReferencesReviewsResources

Equivalence of blocks for the general linear Lie superalgebra

Shun-Jen Cheng, Volodymyr Mazorchuk, Weiqiang Wang

Published 2013-01-07, updated 2013-12-18Version 2

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.

Comments: Formulation of Theorem 2.1 fixed in the last version
Journal: Lett. Math. Phys. 103 (2013) 1313 - 1327
Categories: math.RT
Subjects: 17B10
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