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Grassmann and Stiefel Varieties over Composition Algebras

Name: Grassmann and Stiefel Varieties over Composition Algebras
Brand: Springer, Berlin
SKU: 43475963
Price: 152.81 EUR
Availability: InStock
Author: Marek Golasinski
ISBN: 9783031364044

Marek Golasinski

Francisco Gómez Ruiz

Language

English

Book Hardback

Libristo code: 43475963

Publishers Springer, Berlin, August 2023

This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representat... Full description

Libristo code: 43475963

373 b

152.81 €

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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.