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Introduction To The Theory Of Standard Monomials (Texts And Readings In Mathematics) at Meripustak

Introduction To The Theory Of Standard Monomials (Texts And Readings In Mathematics)

Books from same Author: C. S. Seshadri

Books from same Publisher: Hindustan

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    • General Information  
    Author(s)C. S. Seshadri
    PublisherHindustan
    EditionEdition Revised
    ISBN9789380250588
    Pages236
    BindingPaperback
    LanguageEnglish
    Publish YearMay 2014

    Description

    Hindustan Introduction To The Theory Of Standard Monomials (Texts And Readings In Mathematics) by C. S. Seshadri

    The Aim Of This Book Is To Give An Introduction To What Has Come To Be Known As Standard Monomial Theory (Smt). Smt Deals With The Construction Of Nice Bases Of Finite Dimensional Irreducible Representations Of Semi-Simple Algebraic Groups Or In Geometric Terms Nice Bases Of Coordinate Rings Of Flag Varieties (And Their Schubert Subvarieties) Associated To These Groups. Besides Its Intrinsic Interest Smt Has Applications To The Study Of The Geometry Of Schubert Varieties. Smt Has Its Origin In The Work Of Hodge Giving Bases Of The Coordinate Rings Of The Grassmannian And Its Schubert Subvarieties By Standard Monomials. In Its Modern Form Smt Was Developed By The Author In A Series Of Papers Written In Collaboration With V. Lakshmibai And C. Musili.This Book Is A Reproduction Of A Course Of Lectures Given By The Author In 1983-84 Which Appeared In The Brandeis Lecture Notes Series. The Aim Of This Course Was To Give An Introduction To The Series Of Papers By Concentrating On The Case Of The Full Linear Group. In Recent Years There Has Been Great Progress In Smt Due To The Work Of Peter Littelmann. SeshadriS Course Of Lectures (Reproduced In This Book) Remains An Excellent Introduction To Smt.In The Second Edition Conjectures Of A Standard Monomial Theory (Smt) For A General Semi-Simple (Simply-Connected) Algebraic Group Due To Lakshmibai Have Been Added As Appendix C. Many Typographical Errors Have Been Corrected And The Bibliography Has Been Revised.Show More