Webs of Type P
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866915025055121408 |
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| author | Davidson, Nicholas Kujawa, Jonathan R. Muth, Robert |
| author_facet | Davidson, Nicholas Kujawa, Jonathan R. Muth, Robert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_03410 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Webs of Type P Davidson, Nicholas Kujawa, Jonathan R. Muth, Robert Representation Theory 17B10 (Primary), 18D10 (Secondary) 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. |
| title | Webs of Type P |
| topic | Representation Theory 17B10 (Primary), 18D10 (Secondary) |
| url | https://arxiv.org/abs/2109.03410 |