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arxiv: 1212.6656 · v2 · pith:OVPGV3JJnew · submitted 2012-12-29 · 🧮 math.RT · math.RA

Bounded highest weight modules of q(n)

classification 🧮 math.RT math.RA
keywords classificationmodulesweightboundedhighestsimpleachieveaction
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A classification of the simple highest weight bounded modules of the queer Lie superalgebras q(n) is obtained. To achieve this classification we introduce a new combinatorial tool - the star action. Our result leads in particular to a classification of all simple weight q(n)-modules.

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