Resolutions, relation modules and Schur multipliers for categories

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Resolutions, relation modules and Schur multipliers for categories

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Webb, Peter

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2008-09-15

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Preprint

Abstract

We show that the construction in group cohomology of the Gruenberg resolution associated to a free presentation and the resulting relation module can be copied in the context of representations of categories. We establish five-term exact sequences in the cohomology of categories and go on to show that the Schur multiplier of the category has properties which generalize those of the Schur multiplier of a group.

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algebra

category

representation

resolution

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Webb, Peter. (2008). Resolutions, relation modules and Schur multipliers for categories. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/43122.

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