2006-08-16 20:35:09 +0000 mathematics
From Recent Advances in the Langlands Program, quoted in This Week’s Finds:
First of all, it should be remarked that according to the Tannakian phylosophy, one can reconstruct a group from the category of its finite-dimensional representations, equipped with the structure of the tensor product.
I suppose one should think of this as the categorification of Pontrjagin duality?
For a long while, I had wondered how this goes; this Introduction to Tannaka Duality and Quantum Groups will probably answer my questions.