Twisted actions of categorical groups
Category Theory
2014-09-02 v2 Mathematical Physics
math.MP
Abstract
We develop a theory of twisted actions of categorical groups using a notion of semidirect product of categories. We work through numerous examples to demonstrate the power of these notions. Turning to representations, which are actions that respect vector space structures, we establish an analog of Schur's lemma in this context. Keeping new terminology to a minumum, we concentrate on examples exploring the essential new notions introduced.
Keywords
Cite
@article{arxiv.1404.6365,
title = {Twisted actions of categorical groups},
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1404.6365},
year = {2014}
}
Comments
40p