SYMMETRIC AND EXTERIOR POWERS OF CATEGORIES
Nora Ganter, Mikhail Kapranov
Transformation Groups | SPRINGER BIRKHAUSER | Published : 2014
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. © 2014 Springer Science+Business Media New York.
Awarded by NSF
Much of this paper was written while Ganter held a position at Colby College, Maine, and was supported by the NSF grant DMS-0504539.Kapranov was supported by NSF Grant DMS-0801198.