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The Fundamental Group

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The Fundamental Group

Source :

Graduate Texts in Mathematics [ 0072-5285 ] ; 2013.

RBID : ISTEX:3F76867B49670A5256183C6E04AEE84BFC37FFBB

Abstract

Abstract: In this chapter, we will look more closely at the fundamental group of a compact Lie group G. We will show that it is a finitely generated Abelian group and that each loop in G can be deformed into any given maximal torus. Then we will show how to calculate the fundamental group. Along the way we will encounter another important Coxeter group, the affine Weyl group. The key arguments in this chapter are topological and are adapted from Adams [2].

Url:

https://api.istex.fr/document/3F76867B49670A5256183C6E04AEE84BFC37FFBB/fulltext/pdf

DOI: 10.1007/978-1-4614-8024-2_23

Links to Exploration step

ISTEX:3F76867B49670A5256183C6E04AEE84BFC37FFBB

Le document en format XML

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	Serveur d'exploration Bourbaki
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Serveur d'exploration Bourbaki

The Fundamental Group

The Fundamental Group

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Abstract

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