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Standard Monomial Theory: Invariant Theoretic Approach

Posted By: roxul
Standard Monomial Theory: Invariant Theoretic Approach

V. Lakshmibai, "Standard Monomial Theory: Invariant Theoretic Approach "
English | ISBN: 3540767568 | 2008 | 266 pages | PDF | 2 MB

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.