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arXiv · 2402.19228

A generalised block decomposition theorem

Jan-Paul Lerch
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Abstract

We discuss a class of linear representations of the product poset of totally ordered sets $P= T_1 \times \cdots \times T_n$ which decompose into interval representations for block intervals. These can be characterised in terms of a homological property which is called middle exactness.

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Jan-Paul Lerch. 2024-02-29. A generalised block decomposition theorem. https://arxiv.org/abs/2402.19228

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