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arxiv: 1612.00636 · v1 · pith:UEWHW3VPnew · submitted 2016-12-02 · 🧮 math.RT

Families of irreducible singular Gelfand-Tsetlin modules of mathfrak{gl}(n)

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keywords gelfand-tsetlinmodulessingularirreduciblecertainclassesconjecturedescribe
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We prove a conjecture for the irreducibility of singular Gelfand-Tsetlin modules. We describe explicitly the irreducible subquotients of certain classes of singular Gelfand-Tsetlin modules.

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