2021/06/22 by Gabriella D’Este, Gabriella D'Este, D'Este, Gabriella +2
Mathematics · Physics and Astronomy · #16D10 #16G20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings, Modules, and Algebras #math.RT #msc:16D10 #msc:16G20
paper · pdf · doi:10.48550/arxiv.2106.12028
22 pages
arxiv created 2021/06/22 · openalex publication_date 2021/06/22 · arxiv updated 2021/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that there is a reflection type bijection between the indecomposable summands of two multiplicity free tilting modules X and Y. This bijection fixes the common indecomposable summands of X and Y and sends indecomposable projective (resp., injective) summands of exactly one module to non-projective (resp., non-injective) summands of the other. Moreover, this bijection interchanges the two possible non-isomorphic complements of an almost complete tilting module.