Journal article
Gerbal central extensions of reductive groups by K3
- Abstract:
- We classify central extensions of a reductive group G by K3 and BK3, the sheaf of third Quillen K-theory groups and its classifying stack. These turn out to be parametrized by the group of Weyl-invariant quadratic forms on the cocharacter lattice valued in k× and the group of integral Weyl-invariant cubic forms on the cocharacter lattice respectively.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
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(Preview, Accepted manuscript, pdf, 209.9KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2015.07.034
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 444
- Pages:
- 152-182
- Publication date:
- 2015-08-26
- DOI:
- EISSN:
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1090-266X
- ISSN:
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0021-8693
- Language:
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English
- Keywords:
- Pubs id:
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pubs:511459
- UUID:
-
uuid:a4f91db1-0909-443a-a93c-f4660108b335
- Local pid:
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pubs:511459
- Source identifiers:
-
511459
- Deposit date:
-
2015-11-23
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2015
- Rights statement:
- Copyright © 2015 Elsevier Inc.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at https://dx.doi.org/10.1016/j.jalgebra.2015.07.034
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