Standard Monomial Theory: Invariant Theoretic Approach: 137 (Encyclopaedia of Mathematical Sciences, 137) - Image 1

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Springer Standard Monomial Theory: Invariant Theoretic Approach: 137 (Encyclopaedia of Mathematical Sciences, 137)

Name: Standard Monomial Theory: Invariant Theoretic Approach: 137 (Encyclopaedia of Mathematical Sciences, 137)
Brand: Springer
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Algebra

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Description

Schubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inductive tool for studying flag varieties. The literature on them is vast, for they are ubiquitous - they have been intensively studied over the last fifty years, from many different points of view. This book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory and standard monomial theory for Schubert varieties in certain special flag varieties. Historically, this connection was the prime motivation for the development of standard monomial theory. Determinantal varieties and basic concepts of geometric invariant theory arise naturally in establishing the connection.

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Used Book in Good Condition

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Brand: Springer
Format: hardcover
ASIN: 3540767568
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 January 2008
Listed Since: 25 October 2007

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Springer Standard Monomial Theory: Invariant Theoretic Approach: 137 (Encyclopaedia of Mathematical Sciences, 137)

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