Standard monomial theory : invariant theoretic approach

Author(s)

• Lakshmibai, V. (Venkatramani)
• Raghavan, Komaranapuram N.

Bibliographic Information

Standard monomial theory : invariant theoretic approach

Venkatramani Lakshmibai, Komaranapuram N. Raghavan

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 137 . Invariant theory and algebraic transformation groups ; 8）

Springer, c2008

Note

Bibliography: p. [243]-248

Includes indexes

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BA84675706
• ISBN:
  • 9783540767565
• LCCN: 2007939889
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xiv, 265 p.
• Size: 24 cm
• Classification:
  • LCC : QA564
  • DC22 : 516.353
• Subject Headings:
  • LCSH : Schubert varieties
• Parent Bibliography ID:
  • BA01321819