arXiv · 2007.07526
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
Virgilius-Aurelian Minuta. 2020-07-15. Group graded Morita equivalences for wreath products. https://arxiv.org/abs/2007.07526
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In this paper, we develop a general theory of quasi-Whittaker supermodules over Lie superalgebras induced from an arbitrary ideal. We determine the quasi-Whittaker vectors in universal supermodules, establish an irreducibility criterion, and classify several families of irreducible supermodules. The odd part produces a new irreducibility phenomenon absent from the Lie algebra setting. As applications, we determine all irreducible quasi-Whittaker supermodules over the $N=1$ super Schr\"odinger algebra and the $N=1$ $\frac{3}{2}$-conformal Galilei superalgebra, and over the complete spectrum-generating superalgebra in a special case.
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