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Orthogonal webs and semisimplification

2024/01/01 by Elijah Bodish, Bodish, Elijah, Daniel Tubbenhauer +1 · 1 citation
Mathematics · #20G05 #20J15 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Primary: 18M05 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Secondary: 18M30

paper · pdf · doi:10.48550/arxiv.2401.00704

openalex publication_date 2024/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describe the semisimplification of this category.

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