Webs of type P
Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 1917-1966
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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.
Mots-clés :
Lie superalgebras, type P, webs, diagrammatic categories
Davidson, Nicholas; Kujawa, Jonathan R.; Muth, Robert. Webs of type P. Canadian journal of mathematics, Tome 76 (2024) no. 6, pp. 1917-1966. doi: 10.4153/S0008414X23000688
@article{10_4153_S0008414X23000688,
author = {Davidson, Nicholas and Kujawa, Jonathan R. and Muth, Robert},
title = {Webs of type {P}},
journal = {Canadian journal of mathematics},
pages = {1917--1966},
year = {2024},
volume = {76},
number = {6},
doi = {10.4153/S0008414X23000688},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000688/}
}
TY - JOUR AU - Davidson, Nicholas AU - Kujawa, Jonathan R. AU - Muth, Robert TI - Webs of type P JO - Canadian journal of mathematics PY - 2024 SP - 1917 EP - 1966 VL - 76 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000688/ DO - 10.4153/S0008414X23000688 ID - 10_4153_S0008414X23000688 ER -
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