Abstract
Abstract
This paper introduces type P web supercategories. They are defined as diagrammatic monoidal
${\mathbb {k}}$
-linear supercategories via generators and relations. We study the structure of these categories and provide diagrammatic bases for their morphism spaces. We also prove these supercategories provide combinatorial models for the monoidal supercategory generated by the symmetric powers of the natural module and their duals for the Lie superalgebra of type P.
Publisher
Canadian Mathematical Society
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