Representation theory of 2-groups on finite dimensional 2-vector spaces

Preprint English OPEN
Elgueta, Josep;
(2004)
  • Subject: Mathematics - Category Theory | Mathematics - Representation Theory
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Topology | Mathematics::Category Theory

In this paper, the 2-category $\mathfrak{Rep}_{{\bf 2Mat}_{\mathbb{C}}}(\mathbb{G})$ of (weak) representations of an arbitrary (weak) 2-group $\mathbb{G}$ on (some version of) Kapranov and Voevodsky's 2-category of (complex) 2-vector spaces is studied. In particular, th... View more
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