Standard Monomial Theory
Invariant Theoretic Approach
(Sprache: Englisch)
Schubert varieties provide an inductive tool for studying flag varieties. 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...
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Schubert varieties provide an inductive tool for studying flag varieties. 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 on the one hand and standard monomial theory for Schubert varieties in certain special flag varieties on the other.
Klappentext zu „Standard Monomial Theory “
Schubert varieties provide an inductive tool for studying flag varieties. 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 on the one hand and standard monomial theory for Schubert varieties in certain special flag varieties on the other.
Inhaltsverzeichnis zu „Standard Monomial Theory “
- Generalities on algebraic varieties- Generalities on algebraic groups
- Grassmannian
- Determinantal varieties
- Symplectic Grassmannian
- Orthogonal Grassmannian
- The standard monomial theoretic basis
- Review of GIT
- Invariant theory
- SLn(K)-action
- SOn(K)-action
- Applications of standard monomial theory
Bibliographische Angaben
- Autoren: K. N. Raghavan , V. Lakshmibai
- 2008, 280 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540767568
- ISBN-13: 9783540767565
- Erscheinungsdatum: 29.01.2008
Sprache:
Englisch
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