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Focusing on Grassmannian varieties and their Schubert subvarieties, this book explores their geometric and representation-theoretic aspects. It serves as a valuable resource at the intersection of commutative algebra, algebraic geometry, representation theory, and combinatorics. Graduate students and researchers in mathematics, physics, and computer science will benefit from the introduction of standard monomial theory (SMT) and its applications, such as the Cohen-Macaulay property and connections to classical invariant theory.
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The Grassmannian Variety, V. Lakshmibai, Justin Brown
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- 2015
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