Third group cohomology and gerbes over Lie groups
نویسندگان
چکیده
منابع مشابه
Equivariant Gerbes over Compact Simple Lie Groups
Using groupoid S-central extensions, we present, for a compact simple Lie group G, an infinite dimensional model of S-gerbe over the differential stack G/G whose Dixmier-Douady class corresponds to the canonical generator of the equivariant cohomology H G(G). c © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS Gerbes Equivariantes sur les groupes de Lie simples compa...
متن کاملToroidal Orbifolds, Gerbes and Group Cohomology
In this paper we compute the integral cohomology of certain semi–direct products of the form Z ⋊ G, arising from a linear G action on the n–torus, where G is a finite group. The main application is the complete calculation of torsion gerbes for six dimensional examples arising in string theory.
متن کاملGerbes on Complex Reductive Lie Groups
Let K be a compact Lie group with complexification G. We construct by geometric methods a conjugation invariant gerbe on G; this then gives by restriction an invariant gerbe on K. Our construction works for any choice of level. When K is simple and simply-connected, the level is just an integer as usual. For general K, the level is a bilinear form b on a Cartan subalgebra where b satisfies a qu...
متن کاملCohomology of Lie groups and Lie algebras
The aim of this expository essay is to illustrate one example of a local-to-global phenomenon. What we mean by that is better illustrated by explaining the topic at hand. We aim to understand the de Rham cohomology groups of a Lie group. But instead of doing it using actual differential forms, we shall use the properties of a Lie group (especially the fact that it is a group) to reduce calculat...
متن کاملThe cohomology of Lie groups
Let G be a simple Lie group with a maximal torus T . We construct the cohomology ring H∗(G; Z) in terms of Schubert classes on G/T . 2000 Mathematical Subject Classification: 55T10; 14M15
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2016
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2016.06.015