Classification of invariant valuations on the quaternionic plane

Andreas Bernig; Gil Solanes

doi:10.1016/j.jfa.2014.06.017

Classification of invariant valuations on the quaternionic plane

Andreas Bernig, Gil Solanes

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18 Citas (Scopus)

Resumen

© 2014 Elsevier Inc. We describe the orbit space of the action of the group Sp(2)Sp(1) on the real Grassmann manifolds Grk(H{double-struck}2) in terms of certain quaternionic matrices of Moore rank not larger than 2. We then give a complete classification of valuations on the quaternionic plane H{double-struck}2 which are invariant under the action of the group Sp(2)Sp(1).

Idioma original	Inglés
Páginas (desde-hasta)	2933-2961
Publicación	Journal of Functional Analysis
Volumen	267
DOI	https://doi.org/10.1016/j.jfa.2014.06.017
Estado	Publicada - 1 ene 2014

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abstract = "{\textcopyright} 2014 Elsevier Inc. We describe the orbit space of the action of the group Sp(2)Sp(1) on the real Grassmann manifolds Grk(H\{double-struck\}2) in terms of certain quaternionic matrices of Moore rank not larger than 2. We then give a complete classification of valuations on the quaternionic plane H\{double-struck\}2 which are invariant under the action of the group Sp(2)Sp(1).",

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author = "Andreas Bernig and Gil Solanes",

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AU - Solanes, Gil

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AB - © 2014 Elsevier Inc. We describe the orbit space of the action of the group Sp(2)Sp(1) on the real Grassmann manifolds Grk(H{double-struck}2) in terms of certain quaternionic matrices of Moore rank not larger than 2. We then give a complete classification of valuations on the quaternionic plane H{double-struck}2 which are invariant under the action of the group Sp(2)Sp(1).

KW - Cosine transform

KW - Hadwiger theorem

KW - Kähler angle

KW - Valuation

UR - https://www.scopus.com/pages/publications/84908575035

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DO - 10.1016/j.jfa.2014.06.017

M3 - Article

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VL - 267

SP - 2933

EP - 2961

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Classification of invariant valuations on the quaternionic plane

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