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- W4386600537 abstract "In this paper we study extensions between finite-dimensional simple modules over classical Lie superalgebras gl(m|n), osp(M|2n) and qm. We consider a simplified version of the extension graph which is produced from the Ext1-graph by identifying representations obtained by parity change and removal of the loops. We give a necessary condition for a pair of vertices to be connected and show that this condition is sufficient in most of the cases. This condition implies that the image of a finite-dimensional simple module under the Duflo-Serganova functor has indecomposable isotypical components. This yields semisimplicity of Duflo-Serganova functor for Fin(gl(m|n)) and for Fin(osp(M|2n))." @default.
- W4386600537 created "2023-09-12" @default.
- W4386600537 creator A5024844573 @default.
- W4386600537 date "2023-09-01" @default.
- W4386600537 modified "2023-10-09" @default.
- W4386600537 title "On modified extension graphs of a fixed atypicality" @default.
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- W4386600537 doi "https://doi.org/10.1016/j.jalgebra.2023.09.008" @default.
- W4386600537 hasPublicationYear "2023" @default.
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