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Grassmann and Stiefel varieties over composition algebras

Record Type:	Electronic resources : Monograph/item
Title/Author:	Grassmann and Stiefel varieties over composition algebrasby Marek Golasinski, Francisco Gomez Ruiz.
Author:	Golasinski, Marek.
other author:	Gomez Ruiz, Francisco.
Published:	Cham :Springer Nature Switzerland :2023.
Description:	xii, 334 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Grassmann manifolds.
Online resource:	https://doi.org/10.1007/978-3-031-36405-1
ISBN:	9783031364051$q(electronic bk.)

Grassmann and Stiefel varieties over composition algebras
Golasinski, Marek.

Grassmann and Stiefel varieties over composition algebras[electronic resource] /by Marek Golasinski, Francisco Gomez Ruiz. - Cham :Springer Nature Switzerland :2023. - xii, 334 p. :ill., digital ;24 cm. - RSME Springer series,v. 92509-8896 ;. - RSME Springer series ;v.1..

This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classical matrix manifolds (Stiefel, Grassmann and flag manifolds) are studied in a more general setting. It provides tools to investigate matrix varieties over Pythagorean formally real fields. The presentation of the book is reasonably self-contained. It contains a number of nontrivial results on matrix manifolds useful for people working not only in differential geometry and Riemannian geometry but in other areas of mathematics as well. It is also designed to be readable by a graduate student who has taken introductory courses in algebraic and differential geometry.

ISBN: 9783031364051$q(electronic bk.)

Standard No.: 10.1007/978-3-031-36405-1doiSubjects--Topical Terms:

709163
Grassmann manifolds.

LC Class. No.: QA613.6

Dewey Class. No.: 514.34

Grassmann and Stiefel varieties over composition algebras
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245 1 0 $a Grassmann and Stiefel varieties over composition algebras $h [electronic resource] / $c by Marek Golasinski, Francisco Gomez Ruiz.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xii, 334 p. : $b ill., digital ; $c 24 cm.
490 1 $a RSME Springer series, $x 2509-8896 ; $v v. 9
520 $a This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classical matrix manifolds (Stiefel, Grassmann and flag manifolds) are studied in a more general setting. It provides tools to investigate matrix varieties over Pythagorean formally real fields. The presentation of the book is reasonably self-contained. It contains a number of nontrivial results on matrix manifolds useful for people working not only in differential geometry and Riemannian geometry but in other areas of mathematics as well. It is also designed to be readable by a graduate student who has taken introductory courses in algebraic and differential geometry.
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650 0 $a Stiefel manifolds. $3 957379
650 0 $a Algebraic varieties. $3 387264
650 1 4 $a Differential Geometry. $3 273785
700 1 $a Gomez Ruiz, Francisco. $3 957378
710 2 $a SpringerLink (Online service) $3 273601
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