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math.RT2022
Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series
Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni +1
We construct a new class of finite dimensional indecomposable representations of simple superalgebras which may explain, in a natural way, the existence of the heavier elementary p…
math.RT2022★ 3 cited
Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)
Peter D. Jarvis, Jean Thierry-Mieg
We establish that for the type I Lie superalgebras and , each Kac module admits a 1 parameter family of indecomposable double extensions. The result follows fr…