A generalised block decomposition theorem

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Bibliographic Details
Main Author:	Lerch, Jan-Paul
Format:	Preprint
Published:	2024
Subjects:	Representation Theory Combinatorics 16G20
Online Access:	Acceder al recurso
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_version_	1866913376611860480
author	Lerch, Jan-Paul
author_facet	Lerch, Jan-Paul
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2402_19228
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	A generalised block decomposition theorem Lerch, Jan-Paul Representation Theory Combinatorics 16G20 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.
title	A generalised block decomposition theorem
topic	Representation Theory Combinatorics 16G20
url	https://arxiv.org/abs/2402.19228

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