Endomorphisms of cell 2-representations
Endomorphisms of cell 2-representations
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DOI：
10.1093/imrn/rnw025
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发表时间：
2012-07
期刊：
影响因子：
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通讯作者：
V. Mazorchuk;V. Miemietz
中科院分区：
文献类型：
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作者：
V. Mazorchuk;V. Miemietz
在一些自然的假设下，我们确定了强正则双边胞腔的平坦2-范畴的胞腔2-表示的自同态范畴。沿着这条路，在与上述相同的条件下，我们完整地刻画了除了恒等式之外只有一个双边胞腔J的J-单平坦2-范畴。对于正分次2-范畴，我们证明了附加限制是多余的。
We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant.