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A generalised block decomposition theorem

Published 29 Feb 2024 in math.RT and math.CO | (2402.19228v2)

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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