The Grassmannian Variety

Geometric and Representation-Theoretic Aspects

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book The Grassmannian Variety by V. Lakshmibai, Justin Brown, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: V. Lakshmibai, Justin Brown ISBN: 9781493930821
Publisher: Springer New York Publication: September 25, 2015
Imprint: Springer Language: English
Author: V. Lakshmibai, Justin Brown
ISBN: 9781493930821
Publisher: Springer New York
Publication: September 25, 2015
Imprint: Springer
Language: English

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen–Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.

This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen–Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.

This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry.

More books from Springer New York

Cover of the book Nonparametric Statistics for Applied Research by V. Lakshmibai, Justin Brown
Cover of the book Hydrophilic Matrix Tablets for Oral Controlled Release by V. Lakshmibai, Justin Brown
Cover of the book Atlas of Vaginal Reconstructive Surgery by V. Lakshmibai, Justin Brown
Cover of the book Mindful Parenting by V. Lakshmibai, Justin Brown
Cover of the book Atlas of Operative Procedures in Surgical Oncology by V. Lakshmibai, Justin Brown
Cover of the book Clinical Aspects of Electroporation by V. Lakshmibai, Justin Brown
Cover of the book Just-in-Time Systems by V. Lakshmibai, Justin Brown
Cover of the book Symmetry by V. Lakshmibai, Justin Brown
Cover of the book Management of Prader-Willi Syndrome by V. Lakshmibai, Justin Brown
Cover of the book Invariants of Behavior by V. Lakshmibai, Justin Brown
Cover of the book Emerging Technologies for the Classroom by V. Lakshmibai, Justin Brown
Cover of the book E.O. Wilson and B.F. Skinner by V. Lakshmibai, Justin Brown
Cover of the book Pell and Pell–Lucas Numbers with Applications by V. Lakshmibai, Justin Brown
Cover of the book History of Landscape Ecology in the United States by V. Lakshmibai, Justin Brown
Cover of the book Bioaugmentation for Groundwater Remediation by V. Lakshmibai, Justin Brown
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy