V. Lakshmibai,
K. N. Raghavan
Standard Monomial Theory
Invariant Theoretic Approach
Paperback Engels 2010 9783642095436Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783642095436
Taal:Engels
Bindwijze:paperback
Aantal pagina's:266
Uitgever:Springer Berlin Heidelberg
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Inhoudsopgave
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.
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