Universal central extensions of gauge algebras and groups

Bas Janssens, Christoph Wockel

Type: Article

Publication Date: 2012-04-05

Citations: 8

DOI: https://doi.org/10.1515/crelle-2012-0021

Abstract

Abstract. We show that the canonical central extension of the group of sections of a Lie group bundle over a compact manifold, constructed by Neeb and Wockel (2009), is universal. In doing so, we prove universality of the corresponding central extension of Lie algebras in a slightly more general setting.

Locations

arXiv (Cornell University) - View - PDF
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Journal für die reine und angewandte Mathematik (Crelles Journal) - View

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Works Cited by This (17)

Action	Title	Year	Authors
+	Lie Groups and Lie Algebras	2009	Pr Yvette Kosmann-Schwarzbach Stephanie Frank Singer
+	None	2002	Karl‐Hermann Neeb
+	Cohomology of Infinite-Dimensional Lie Algebras	1986	D. B. Fuks
+ PDF Chat	Central extensions of infinite-dimensional Lie groups	2002	Karl‐Hermann Neeb
+	Central extensions of current groups	2003	Peter Maier Karl‐Hermann Neeb
+ PDF Chat	Cosheaves and homology	1968	Glen E. Bredon
+	Elementary Structure of Real Algebraic Varieties	1992	Hassler Whitney
+ PDF Chat	Integral conjugacy classes of compact Lie groups	2004	S. Mohrdieck Robert Wendt
+ PDF Chat	The Lie algebra of a smooth manifold	1954	Merrill Shanks Lyle E. Pursell
+	Produits Tensoriels Topologiques Et Espaces Nucleaires	1966	Alexandre Grothendieck