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Anti-involutions on Green biset functors

2022/08/16 by Robert Boltje, Benjamin A. Garcia, Boltje, Robert +1
Mathematics · #19A22 #20C99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2208.07494

openalex publication_date 2022/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we propose a concept of anti-involution for Green biset functors and we provide equivalent definitions. We present ⋆-Green biset functors and we study their orthogonal units and the orthogonal automorphisms in their associated categories.

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