Webs of Type P

Abstract

This paper introduces type P web supercategories. They are defined as diagrammatic monoidal $k$-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.

arXiv commentFinal version. Compared to the first version, there are no substantive changes to the mathematics, but numerous changes to exposition in response to referee suggestions. Updated authors' affiliations

References in corpus (8)

• Webs and quantum skew Howe duality
• Monoidal supercategories
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• The marked Brauer category
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• Symmetric webs, Jones-Wenzl recursions and $q$-Howe duality
• Semisimplification of the category of tilting modules for GL_n
• Quantized enveloping superalgebra of type $P$