國立虎尾科技大學 |

Grassmann and Stiefel varieties over composition algebras

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Grassmann and Stiefel varieties over composition algebras/ by Marek Golasinski, Francisco Gomez Ruiz.
作者:	Golasinski, Marek.
其他作者:	Gomez Ruiz, Francisco.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xii, 334 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Differential Geometry. -
電子資源:	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.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

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

671118
Differential Geometry.

LC Class. No.: QA613.6

Dewey Class. No.: 514.34

Grassmann and Stiefel varieties over composition algebras
LDR:01756nam a2200325 a 4500 001 1116299
003 DE-He213
005 20230816204804.0
006 m d
007 cr nn 008maaau
008 240123s2023 sz s 0 eng d
020 $a 9783031364051 $q (electronic bk.)
020 $a 9783031364044 $q (paper)
024 7 $a 10.1007/978-3-031-36405-1 $2 doi
035 $a 978-3-031-36405-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA613.6
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 514.34 $2 23
090 $a QA613.6 $b .G617 2023
100 1 $a Golasinski, Marek. $3 1429494
245 1 0 $a Grassmann and Stiefel varieties over composition algebras $h [electronic resource] / $c by Marek Golasinski, Francisco Gomez Ruiz.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
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 1 4 $a Differential Geometry. $3 671118
650 0 $a Algebraic varieties. $3 672613
650 0 $a Stiefel manifolds. $3 1429496
650 0 $a Grassmann manifolds. $3 1107094
700 1 $a Gomez Ruiz, Francisco. $3 1429495
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a RSME Springer series ; $v v.1. $3 1112854
856 4 0 $u https://doi.org/10.1007/978-3-031-36405-1
950 $a Mathematics and Statistics (SpringerNature-11649)