Standard Monomial Theory Invariant Theoretic Approach
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2008, 2008
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| Edition: | 1st ed. 2008 |
| Series: | Encyclopaedia of Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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