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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...

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Bibliografiske detaljer
Main Authors: Lakshmibai, V. (Author, http://id.loc.gov/vocabulary/relators/aut), Raghavan, K. N. (http://id.loc.gov/vocabulary/relators/aut)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:English
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Udgivelse:1st ed. 2008.
Serier:Encyclopaedia of Mathematical Sciences, 137
Fag:
Algebraic geometry.
Algebra.
Algebraic Geometry.
Online adgang:https://doi.org/10.1007/978-3-540-76757-2
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Indholdsfortegnelse:
  • 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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