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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)
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| Singapore : , : Springer, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
Geometry, Algebraic
Algebraic topology Combinatorial analysis Algebraic Geometry Algebraic Topology Combinatorics |
| 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 |
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Lakshmibai V
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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