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Equivalence of Blocks for the General Linear Lie Superalgebra
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 103, no 12, 1313-1327 p.Article in journal (Refereed) Published
Abstract [en]

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 for a general linear Lie superalgebra to an integral block of for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of .

Place, publisher, year, edition, pages
2013. Vol. 103, no 12, 1313-1327 p.
Keyword [en]
general linear Lie superalgebra, BGG category, block decomposition
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-210544DOI: 10.1007/s11005-013-0642-5ISI: 000325808200002OAI: oai:DiVA.org:uu-210544DiVA: diva2:664143
Available from: 2013-11-14 Created: 2013-11-11 Last updated: 2013-11-14Bibliographically approved

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Mazorchuk, Volodymyr
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