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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Grassmannian Variety: Geometric and Representation-Theoretic Aspects

The Grassmannian Variety: Geometric and Representation-Theoretic Aspects

Lakshmibai, V.
Brown, Justin

Paperback

Series: Developments in Mathematics, Book 42

General MathematicsGeometry

ISBN10: 1493956086
ISBN13: 9781493956081
Publisher: Springer Nature
Published: Oct 29 2016
Pages: 172
Weight: 0.59
Height: 0.39 Width: 6.14 Depth: 9.21
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.

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