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Type: Artigo de periódico
Title: The homotopy type of Lie semigroups in semi-simple Lie groups
Author: San Martin, LAB
Santana, AJ
Abstract: Let G be a noncompact semi-simple Lie group and S subset of G a Lie semigroup with nonempty interior. We study the homotopy groups pi(n)(S), n greater than or equal to 1, of S, Generalizing a well known fact for G, it is proved that there exists a compact and connected subgroup K(S) subset of G such that pi(n)(S) is isomorphic to pi(n)(K(S)). Furthermore, there exists a coset K(S) z contained in int S which is a deformation retract of S.
Subject: semigroups
semi-simple Lie groups
homotopy groups
flag manifolds
Country: Austria
Editor: Springer-verlag Wien
Citation: Monatshefte Fur Mathematik. Springer-verlag Wien, v. 136, n. 2, n. 151, n. 173, 2002.
Rights: fechado
Identifier DOI: 10.1007/s006050200040
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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