The cubical complex of a permutation group representation - or however you want to call it

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

This paper is about a small combinatorial trick, which is well known, but has
no name. Let G be a permutation group acting on a vector space M. There is a
natural way to assign a cosimplicial space to these data. We call the resulting
cochain complex the cubical complex. Its cohomology is easy to compute. We give
some examples of its occurrence in nature.

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