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Symmetric and exterior powers of categories

Category Theory 2014-06-30 v1 K-Theory and Homology Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1110.4753,
  title  = {Symmetric and exterior powers of categories},
  author = {Nora Ganter and Mikhail Kapranov},
  journal= {arXiv preprint arXiv:1110.4753},
  year   = {2014}
}

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45 pages