Infinite-Dimensional Representations of 2-Groups

@inproceedings{Baez2012InfiniteDimensionalRO,
title={Infinite-Dimensional Representations of 2-Groups},
author={J. Baez and A. Baratin and L. Freidel and D. Wise},
year={2012}
}
• J. Baez, +1 author D. Wise
• Published 2012
• Mathematics, Physics
• A "$2$-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, $2$-groups have representations on "$2$-vector spaces", which are categories analogous to vector spaces. Unfortunately, Lie $2$-groups typically have few representations on the finite-dimensional $2$-vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinite-dimensional $2$-vector… CONTINUE READING
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