2024/09/27 by Mei, Yuxia, Wang, Li, Wei, Jiaqun
#FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2409.18711
Let (A, B, C, i*, i∗, i!,j_!, j^∗, j_∗) be a recollement of extriangulated categories. We show that there is a bijection between thick subcategories in C and thick subcategories in B containing i∗A. Futhermore, the thick subcategories V in B containing i∗A can induce a new recollement relative to A and j∗V. We also prove that silting subcategories in A and C can be glued to get silting subcategories in B and the converse holds under certain conditions.