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Flag varieties : an interplay of geometry, combinatorics, and representation theory / / V. Lakshmibai, Justin Brown
Flag varieties : an interplay of geometry, combinatorics, and representation theory / / V. Lakshmibai, Justin Brown
Autore Lakshmibai V (Venkatramani)
Edizione [Second edition.]
Pubbl/distr/stampa Singapore : , : Springer, , [2018]
Descrizione fisica 1 online resource (xiv, 312 pages) : illustrations
Disciplina 516.35
Collana Texts and readings in mathematics
Soggetto topico Geometry, Algebraic
Flag manifolds
Representations of groups
ISBN 981-13-1393-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. Preliminaries -- Chapter 2. Structure Theory of Semisimple Rings -- Chapter 3. Representation Theory of Finite Groups -- Chapter 4. Representation Theory of the Symmetric Group -- Chapter 5. Symmetric Polynomials -- Chapter 6. Schur-Weyl Duality and the Relationship Between Representations of Sd and GLn (C) -- Chapter 7. Structure Theory of Complex Semisimple Lie Algebras -- Chapter 8. Representation Theory of Complex Semisimple Lie Algebras -- Chapter 9. Generalities on Algebraic Groups -- Chapter 10. Structure Theory of Reductive Groups -- Chapter 11. Representation Theory of Semisimple Algebraic Groups -- Chapter 12. Geometry of the Grassmannian, Flag and their Schubert Varieties via Standard Monomial Theory -- Chapter 13. Singular Locus of a Schubert Variety in the Flag Variety SLn=B -- Chapter 14. Applications -- Chapter 15. Free Resolutions of Some Schubert Singularities -- Chapter 16. Levi Subgroup Actions on Schubert Varieties, and Some Geometric Consequences.
Record Nr. UNINA-9910300101203321
Lakshmibai V (Venkatramani)  
Singapore : , : Springer, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Grassmannian variety : geometric and representation-theoretic aspects / / by V. Lakshmibai, Justin Brown
The Grassmannian variety : geometric and representation-theoretic aspects / / by V. Lakshmibai, Justin Brown
Autore Lakshmibai V
Edizione [1st ed. 2015.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (174 p.)
Disciplina 512.2
Collana Developments in Mathematics
Soggetto topico Algebraic geometry
Algebraic topology
Combinatorics
Algebraic Geometry
Algebraic Topology
ISBN 1-4939-3082-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- 1. Introduction -- Part I. Algebraic Geometry—A Brief Recollection - 2. Preliminary Material -- 3. Cohomology Theory -- 4. Gröbner Bases -- Part II. Grassmannian and Schubert Varieties -- 5. The Grassmannian and Its Schubert Varieties -- 6. Further Geometric Properties of Schubert Varieties -- 7. Flat Degenerations -- Part III. Flag Varieties and Related Varieties -- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects -- 9. Relationship to Classical Invariant Theory -- 10. Determinantal Varieties -- 11. Related Topics -- References -- List of Symbols -- Index.
Record Nr. UNINA-9910300241803321
Lakshmibai V  
New York, NY : , : Springer New York : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui