A Generalized Cartan Decomposition for the Double Coset Space {large$SU(2n+1)ackslash SL(2n+1,mathbb{C})/Sp(n,mathbb{C})$}

Journal of Mathematical Sciences

Sasaki, Atsumu¹ 

关键词: Cartan decomposition;    visible action;    symmetric space;    herringbone stitch;    spherical variety.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

ThispapergivesageneralizationoftheCartandecompositionforthenon-symmetricspace$SL(2n+1,mathbb{C})/Sp(n,mathbb{C})$.OurmethodusestheherringbonestitchintroducedbyT.Kobayashicite{cartan},andasacorollary,weprovethat$SU(2n+1)$actsonthesphericalvariety$SL(2n+1,mathbb{C})/Sp(n,mathbb{C})$inastronglyvisiblefashionwithsliceofrealdimension$2n$.

【 授权许可】

Unknown