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... aka locally linear compact vector spaces. The one reference I know is http://www.math.harvard.edu/~gaitsgde/grad_2009/SeminarNotes/Nov3-10(CentExt).pdf. Does anyone know another good reference?

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How about Tate's original article? –  Emerton Jan 29 '10 at 2:08
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up vote 4 down vote accepted
  1. Beilinson, Drinfeld. Chiral Algebras section 2.7 (I think)
  2. Beilinson, Feigin, Mazur. Notes on Conformal Field Theory (Incomplete) available on Mazur's web page.

Also: Tate, Residues of differentials on curves

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Thanks. ! –  Dinakar Muthiah Jan 29 '10 at 16:16
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