Standard monomial theory : invariant theoretic approach

著者

書誌事項

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

大学図書館所蔵 件 / 60

この図書・雑誌をさがす

注記

Bibliography: p. [243]-248

Includes indexes

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA84675706
  • ISBN
    • 9783540767565
  • LCCN
    2007939889
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xiv, 265 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ