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Hall algebras of extriangulated categories

2021/07/13 by Li Wang, Jiaqun Wei, Wang, Li +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CT #math.QA #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.2107.05883

21 pages

openalex publication_date 2021/07/13 · arxiv created 2021/08/03 · arxiv updated 2021/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, Nakaoka and Palu introduced a notion of extriangulated categories. This is a unification of exact categories and triangulated categories. In this paper, we generalize the definitions of Hall algebras of exact categories and triangulated categories to extriangulated categories.

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