Gerbal central extensions of reductive groups by \(\mathcal{K}_3\)

DOI10.1016/j.jalgebra.2015.07.034zbMath1342.19003arXiv1407.4113OpenAlexW2121047211MaRDI QIDQ745153

Pavel Safronov

Publication date: 13 October 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4113

zbMATH Keywords

\(K\)-cohomology\(\mathcal K_3\)-central extensionBrylinski-Deligne spectral sequencesplit reductive groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic cycles (14C25) Central extensions and Schur multipliers (19C09) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• The first Suslin homology sheaf of a split simply connected semisimple algebraic group
• Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups
• The algebraic \(K\)-theory of the classical groups and some twisted forms
• Central extensions of reductive groups by \(K_2\).
• Transgressive loop group extensions
• Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
• Gerbal Representations of Double Loop Groups
• 2-Gerbes and 2-Tate Spaces
• The Arason invariant and mod 2 algebraic cycles
• Formal loops II: A local Riemann–Roch theorem for determinantal gerbes
• Loop spaces, characteristic classes and geometric quantization

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