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Více informací o knize Standard Monomial Theory

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• Anotace
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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Standard Monomial Theory
• Podnázev: Invariant Theoretic Approach
• Autor: Venkatramani Lakshmibai, Komaranapuram N. Raghavan
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 266
• EAN: 9783540767565
• ISBN: 3540767568
• ID: 01569559
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 588 g
• Rozměry: 235 × 155 × 20 mm
• Datum vydání: 29. January 2008

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