Standard Monomial Theory Invariant Theoretic Approach /

• Κύριοι συγγραφείς: Lakshmibai, Venkatramani (Συγγραφέας), Raghavan, Komaranapuram N. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Encyclopaedia of Mathematical Sciences, 137
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Algebraic Geometry.

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 o...

Πίνακας περιεχομένων:

• 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.