Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms

详细信息    查看全文

• 作者：Oliver Goertsches ; ^{goertsches@math.lmu.de" class="auth_mail" title="E-mail the corresponding author} ; Sam Haghshenas Noshari ^{noshari@math.lmu.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53C30 ; 55N91 ; 57S15
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：220
• 期：5
• 页码：2017-2028
• 全文大小：370 K

文摘

Given a compact, connected Lie group G and a compact, connected Lie subgroup K defined by an automorphism of G, we show that the isotropy action of K   on class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022404915002935&_mathId=si1.gif&_user=111111111&_pii=S0022404915002935&_rdoc=1&_issn=00224049&md5=1274f647a022317f0af8ecb7e61b6a98" title="Click to view the MathML source">G/Kclass="mathContainer hidden">class="mathCode">$G/K$ is equivariantly formal and that class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022404915002935&_mathId=si2.gif&_user=111111111&_pii=S0022404915002935&_rdoc=1&_issn=00224049&md5=aa551cc8513a319417749c447f7dc843" title="Click to view the MathML source">(G,K)class="mathContainer hidden">class="mathCode">$(G,K)$ is a Cartan pair.