Central extensions by K2 and factorization line bundles
Let X be a smooth, geometrically connected curve over a perfect field k. Given a connected, reductive group G, we prove that central extensions of G by the sheaf K2 on the big Zariski site of X, studied in Brylinski-Deligne [5], are equivalent to factorization line bundles on the Beilinson-Drinfeld...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg,
2021-10-12T18:50:14Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | Let X be a smooth, geometrically connected curve over a perfect field k. Given a connected, reductive group G, we prove that central extensions of G by the sheaf K2 on the big Zariski site of X, studied in Brylinski-Deligne [5], are equivalent to factorization line bundles on the Beilinson-Drinfeld affine Grassmannian GrG. Our result affirms a conjecture of Gaitsgory-Lysenko [13] and classifies factorization line bundles on GrG. . |
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