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On the representations of 2-groups in Baez-Crans 2-vector spaces

Author
B. A. Heredia; Elgueta, J.
Type of activity
Journal article
Journal
Theory and applications of categories
Date of publication
2016-10-06
Volume
31
Number
32
First page
907
Last page
927
Repository
http://hdl.handle.net/2117/103247 Open in new window
URL
http://www.tac.mta.ca/tac/volumes/31/32/31-32.pdf Open in new window
Abstract
We study the theory of representations of a 2-group G in Baez-Crans 2-vector spaces over a field k of arbitrary characteristic, and the corresponding 2-vector spaces of intertwiners. We also characterize the irreducible and indecomposable representations. Finally, it is shown that when the 2-group is finite and the base field k is of characteristic zero or coprime to the orders of the homotopy groups of G, the theory essentially reduces to the theory of k-linear representations of the first ho...
Citation
B. A. Heredia, Elgueta, J. On the representations of 2-groups in Baez-Crans 2-vector spaces. "Theory and applications of categories", 6 Octubre 2016, vol. 31, núm. 32, p. 907-927.
Keywords
2-categories, 2-groups (categorical groups), 2-vector spaces, representations
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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