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 |
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Springer Berlin Heidelberg,
2021-10-12T18:50:14Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 00836 am a22001453u 4500 | ||
|---|---|---|---|
| 001 | 132935 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Tao, James |e author |
| 700 | 1 | 0 | |a Zhao, Yifei |e author |
| 245 | 0 | 0 | |a Central extensions by K2 and factorization line bundles |
| 260 | |b Springer Berlin Heidelberg, |c 2021-10-12T18:50:14Z. | ||
| 856 | |z Get fulltext |u https://hdl.handle.net/1721.1/132935 | ||
| 520 | |a 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. . | ||
| 546 | |a en | ||
| 655 | 7 | |a Article | |