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Presentations of representations

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arxiv 2504.00224 v1 pith:TXMME72P submitted 2025-03-31 math.RT math.GT

Presentations of representations

classification math.RT math.GT
keywords groupmathbbpresentationsrepresentationsauthorscalculatingconstructinggenerators
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We give a new technique for constructing presentations by generators and relations for representations of groups like $SL_n(\mathbb{Z})$ and $Sp_{2g}(\mathbb{Z})$. Our results play an important role in recent work of the authors calculating the second homology group of the Torelli group.

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