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Grassmann and Stiefel varieties over...
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Golasinski, Marek.
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Grassmann and Stiefel varieties over composition algebras
紀錄類型:
書目-電子資源 : 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:
Grassmann manifolds. -
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. 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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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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