Unitary groups acting on Grassmannians associated with a quadratic extension of fields.

Claudio Bartolone; Maria Alessandra Vaccaro

Unitary groups acting on Grassmannians associated with a quadratic extension of fields.

Claudio Bartolone, Maria Alessandra Vaccaro

Matematica e Informatica

Risultato della ricerca: Article

Abstract

Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.

Lingua originale	English
pagine (da-a)	1107-1116
Numero di pagine	10
Rivista	Rocky Mountain Journal of Mathematics
Volume	36
Stato di pubblicazione	Published - 2006

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All Science Journal Classification (ASJC) codes

Mathematics(all)

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Bartolone, C., & Vaccaro, M. A. (2006). Unitary groups acting on Grassmannians associated with a quadratic extension of fields. Rocky Mountain Journal of Mathematics, 36, 1107-1116.

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abstract = "Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.",

author = "Claudio Bartolone and Vaccaro, {Maria Alessandra}",

year = "2006",

language = "English",

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pages = "1107--1116",

journal = "Rocky Mountain Journal of Mathematics",

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T1 - Unitary groups acting on Grassmannians associated with a quadratic extension of fields.

AU - Bartolone, Claudio

AU - Vaccaro, Maria Alessandra

PY - 2006

Y1 - 2006

N2 - Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.

AB - Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V.

UR - http://hdl.handle.net/10447/31331

M3 - Article

VL - 36

SP - 1107

EP - 1116

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

ER -

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