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Standard Monomial Theory: Invariant Theoretic Approach
By (author) V. Lakshmibai, By (author) K. N. Raghavan
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normal price: R 5 183.95
Price: R 4 924.95
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| book 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.
| product details |
Normally shipped |
Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Published date | 22 Nov 2010
Language |
Format | Paperback / softback
Pages | 266
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-6420-9543-6
Readership Age |
BISAC | mathematics / geometry / algebraic
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