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6 votes
3 answers
678 views

Electromagnetism as a $U(1)$-gauge theory

I would like to learn gauge theory, starting from the simplest case. I have heard that I should start with electromagnetism, which is just the $U(1)$-gauge theory. All the references I know are writte …
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1 vote

Simple proof of sharp constant in DKW inequality

Thank you for your question. It motivated me to go through that paper. While I don't have a direct answer, I broke the paper down. The difficult details are non-omitable.. you have to find them in the …
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5 votes
1 answer
212 views

Classification of $\operatorname{Rep}D(H)$

Question Let $H$ be a finite dimensional complex Hopf algebra and $D(H)$ its quantum double. Can we classify the simple objects in $\operatorname{Rep}D(H)$ if the representations of $H$ are well-unde …
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25 votes
1 answer
2k views

Definition of an n-category

What's the standard definition, if any, of an $n$-category as of 2020? The literature I can tap into is quite limited, but I'll try my best to list what I had so far. In [Lei2001], Leinster demonstrat …
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