Simple transitive 2-representations for two non-fiat 2-categories of projective functors
Representation Theory
2016-01-05 v1
Abstract
We show that any simple transitive -representation of the -ca\-te\-go\-ry of projective endofunctors for the quiver algebra of \Bbbk(\xymatrix{\bullet\ar[r]&\bullet}) and for the quiver algebra of \Bbbk(\xymatrix{\bullet\ar[r]\ar@/^/@{.}[rr]&\bullet\ar[r]&\bullet}) is equivalent to a cell -representation.
Keywords
Cite
@article{arxiv.1601.00097,
title = {Simple transitive 2-representations for two non-fiat 2-categories of projective functors},
author = {Volodymyr Mazorchuk and Xiaoting Zhang},
journal= {arXiv preprint arXiv:1601.00097},
year = {2016}
}
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23 pages