Decomposition theorems for triple spaces

Thomas Hjortgaard Danielsen; Bernhard Krötz; Henrik Schlichtkrull

doi:10.1007/s10711-014-0008-x

Decomposition theorems for triple spaces

Thomas Hjortgaard Danielsen, Bernhard Krötz, Henrik Schlichtkrull

Department of Mathematical Sciences

4 Citations (Scopus)

Abstract

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.).

Original language	English
Journal	Geometriae Dedicata
Volume	174
Pages (from-to)	145-154
ISSN	0046-5755
DOIs	https://doi.org/10.1007/s10711-014-0008-x
Publication status	Published - Feb 2015

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title = "Decomposition theorems for triple spaces",

abstract = "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.).",

author = "Danielsen, {Thomas Hjortgaard} and Bernhard Kr{\"o}tz and Henrik Schlichtkrull",

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AU - Danielsen, Thomas Hjortgaard

AU - Krötz, Bernhard

AU - Schlichtkrull, Henrik

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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 -

Decomposition theorems for triple spaces

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