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math.CT2011
Symmetric and exterior powers of categories
Nora Ganter, Mikhail Kapranov
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 cat…
math.CT2011
Inner products of 2-representations
Nora Ganter
We define and calculate inner products of 2-representations. Along the way, we prove that the categorical trace Tr(-) of [Ganter and Kapranov, Representation and character theory i…