The Grassmannian Variety: Geometric and Representation-Theoretic Aspects

Author:   V. Lakshmibai ,  Justin Brown
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2015
Volume:   42
ISBN:  

9781493956081


Pages:   172
Publication Date:   29 October 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Grassmannian Variety: Geometric and Representation-Theoretic Aspects


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Author:   V. Lakshmibai ,  Justin Brown
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2015
Volume:   42
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   2.876kg
ISBN:  

9781493956081


ISBN 10:   1493956086
Pages:   172
Publication Date:   29 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- 1. Introduction.- Part I. Algebraic Geometry—A Brief Recollection - 2. Preliminary Material.- 3. Cohomology Theory.- 4. Gröbner Bases.- Part II. Grassmannian and Schubert Varieties.- 5. The Grassmannian and Its Schubert Varieties.- 6. Further Geometric Properties of Schubert Varieties.- 7. Flat Degenerations.- Part III. Flag Varieties and Related Varieties.- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects.- 9. Relationship to Classical Invariant Theory.- 10. Determinantal Varieties.- 11. Related Topics.- References.- List of Symbols.- Index.

Reviews

The book under review is more elementary; it is exclusively devoted to Grassmannians and their Schubert subvarieties. The book is divided into three parts. ... This is a nicely written book, one that may appeal to students and researchers in related areas. (Felipe Zaldivar, MAA Reviews, maa.org, December, 2015)


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