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Webs of type Q

Gordon C. Brown, Jonathan R. Kujawa

Source record

Source: Crossref

Published: Jan 4, 2022

DOI: 10.5802/alco.191

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Source abstract

Howe dualities lead to diagrammatic categories which describe the representations of Lie-type objects as a monoidal category (that is, via generators and relations). Applying this philosophy to the type Q Howe duality of Cheng–Wang and Sergeev, we introduce diagrammatic web supercategories of type Q via generators and relations and show they describe the full subcategory of supermodules for the Lie superalgebra of type Q given by the tensor products of supersymmetric tensor powers of the natural supermodule.

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