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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Главные авторы: Lakshmibai, V. (Автор, http://id.loc.gov/vocabulary/relators/aut), Raghavan, K. N. (http://id.loc.gov/vocabulary/relators/aut)
Соавтор: SpringerLink (Online service)
Формат: Электронный ресурс eКнига
Язык:English
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Редактирование:1st ed. 2008.
Серии:Encyclopaedia of Mathematical Sciences, 137
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Online-ссылка:https://doi.org/10.1007/978-3-540-76757-2
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Оглавление:
  • 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.