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

By Pavol Severa and Thomas Willwacher

Abstract

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

Topics: Mathematics - Quantum Algebra
Year: 2011
OAI identifier: oai:arXiv.org:1103.3283
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