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Grassmann and Stiefel varieties over...

Golasinski, Marek.

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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 algebras/ by 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

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. 9..

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

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

708971
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.
650 0 $a Grassmann manifolds. $3 708971
650 0 $a Stiefel manifolds. $3 3665366
650 0 $a Algebraic varieties. $3 555734
650 1 4 $a Differential Geometry. $3 891003
700 1 $a Gomez Ruiz, Francisco. $3 3665364
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a RSME Springer series ; $v v. 9. $3 3665365
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