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Author:   V. Lakshmibai ,  Justin Brown
Publisher:   Jainendra K Jain
Imprint:   Jainendra K Jain
Edition:   2nd Revised edition
ISBN:  

9789386279705

ISBN 10:   9386279703
Pages:   325
Publication Date:   30 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface Introduction 1 Preliminaries 2 Structure Theory of Semisimple Rings 3 Representation Theory of Finite Groups 4 Representation Theory of the Symmetric Group 5 Symmetric Polynomials 6 Schur-Weyl Duality and the Relationship Between Representations of Sd and GLn (C) 7 Structure Theory of Complex Semisimple Lie Algebras 8 Representation Theory of Complex Semisimple Lie Algebras 9 Generalities on Algebraic Groups 10 Structure Theory of Reductive Groups 11 Representation Theory of Semisimple Algebraic Groups 12 Geometry of the Grassmannian, Flag and their Schubert Varieties via Standard Monomial Theory 13 Singular Locus of a Schubert Variety in the Flag Variety SLn / B 14 Applications 15 Free Resolutions of Some Schubert Singularities 16 Levi Subgroup Actions on Schubert Varieties, and Some Geometric Consequences Appendix A: Chevalley Groups References List of Symbols Index

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