Decomposition theorems for triple spaces

TY - JOUR

T1 - Decomposition theorems for triple spaces

AU - Danielsen, Thomas Hjortgaard

AU - Krötz, Bernhard

AU - Schlichtkrull, Henrik

PY - 2015/2

Y1 - 2015/2

N2 - A triple space is a homogeneous space (Formula presented.) where (Formula presented.) is a threefold product group and (Formula presented.) the diagonal subgroup of (Formula presented.). This paper concerns the geometry of the triple spaces with (Formula presented.) or (Formula presented.) for (Formula presented.). We determine the abelian subgroups (Formula presented.) for which there is a polar decomposition (Formula presented.).

AB - A triple space is a homogeneous space (Formula presented.) where (Formula presented.) is a threefold product group and (Formula presented.) the diagonal subgroup of (Formula presented.). This paper concerns the geometry of the triple spaces with (Formula presented.) or (Formula presented.) for (Formula presented.). We determine the abelian subgroups (Formula presented.) for which there is a polar decomposition (Formula presented.).

U2 - 10.1007/s10711-014-0008-x

DO - 10.1007/s10711-014-0008-x

M3 - Journal article

SN - 0046-5755

VL - 174

SP - 145

EP - 154

JO - Geometriae Dedicata

JF - Geometriae Dedicata

ER -