Gerbal central extensions of reductive groups by K3

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Pages (from-to)152-182
JournalJournal of Algebra
Volume444
Early online date26 Aug 2015
DOIs
Publication statusPublished - 15 Dec 2015

Fingerprint

Dive into the research topics of 'Gerbal central extensions of reductive groups by K3'. Together they form a unique fingerprint.

Cite this