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arxiv: 1110.4753 · v1 · pith:DXJNU2SKnew · submitted 2011-10-21 · 🧮 math.CT · math.KT· math.RT

Symmetric and exterior powers of categories

classification 🧮 math.CT math.KTmath.RT
keywords categoriesexteriorpowerssymmetriccalculatecategoricalcategorifiedcharacters
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We define symmetric and exterior powers of categories, fitting into categorified Koszul complexes. We discuss examples and calculate the effect of these power operations on the categorical characters of matrix 2-representations.

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