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Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Autore Enright Thomas J.
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (102 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Modular representations of groups
Semisimple Lie groups
Verma modules
Kazhdan-Lusztig polynomials
Soggetto genere / forma Electronic books.
ISBN 1-4704-0783-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and summary of results""; ""Part I: Categories of Highest Weight Modules""; ""2. Notation""; ""3. Preliminary results""; ""4. Reduction of singularities""; ""5. The Zuckerman derived functors""; ""6. An equivalence of categories""; ""7. A second equivalence of categories""; ""Part II: Highest Weight Modules for Hermitian Symmetric Pairs""; ""8. Statement of the Main Results""; ""9. Additional notation and preliminary results""; ""10. Wall shifting""; ""11. Induction from lower rank""; ""12. Proof of Theorem 8.4""; ""13. Proof of Theorem 8.5""
""14. Projective resolutions and Ext""""15. Kazhdan-Lusztig polynomials""; ""16. Decompositions of U(u[sup(�)])-free self-dual g-modules""; ""Bibliography""
Record Nr. UNINA-9910480721903321
Enright Thomas J.  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Autore Enright Thomas J.
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (102 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Modular representations of groups
Semisimple Lie groups
Verma modules
Kazhdan-Lusztig polynomials
ISBN 1-4704-0783-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and summary of results""; ""Part I: Categories of Highest Weight Modules""; ""2. Notation""; ""3. Preliminary results""; ""4. Reduction of singularities""; ""5. The Zuckerman derived functors""; ""6. An equivalence of categories""; ""7. A second equivalence of categories""; ""Part II: Highest Weight Modules for Hermitian Symmetric Pairs""; ""8. Statement of the Main Results""; ""9. Additional notation and preliminary results""; ""10. Wall shifting""; ""11. Induction from lower rank""; ""12. Proof of Theorem 8.4""; ""13. Proof of Theorem 8.5""
""14. Projective resolutions and Ext""""15. Kazhdan-Lusztig polynomials""; ""16. Decompositions of U(u[sup(�)])-free self-dual g-modules""; ""Bibliography""
Record Nr. UNINA-9910788883703321
Enright Thomas J.  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton
Autore Enright Thomas J.
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (102 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Modular representations of groups
Semisimple Lie groups
Verma modules
Kazhdan-Lusztig polynomials
ISBN 1-4704-0783-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and summary of results""; ""Part I: Categories of Highest Weight Modules""; ""2. Notation""; ""3. Preliminary results""; ""4. Reduction of singularities""; ""5. The Zuckerman derived functors""; ""6. An equivalence of categories""; ""7. A second equivalence of categories""; ""Part II: Highest Weight Modules for Hermitian Symmetric Pairs""; ""8. Statement of the Main Results""; ""9. Additional notation and preliminary results""; ""10. Wall shifting""; ""11. Induction from lower rank""; ""12. Proof of Theorem 8.4""; ""13. Proof of Theorem 8.5""
""14. Projective resolutions and Ext""""15. Kazhdan-Lusztig polynomials""; ""16. Decompositions of U(u[sup(�)])-free self-dual g-modules""; ""Bibliography""
Record Nr. UNINA-9910811637203321
Enright Thomas J.  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A filtered category OS and applications / / Ronald S. Irving
A filtered category OS and applications / / Ronald S. Irving
Autore Irving Ronald S. <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1990
Descrizione fisica 1 online resource (131 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Verma modules
Semisimple Lie groups
Filtered modules
Soggetto genere / forma Electronic books.
ISBN 1-4704-0842-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""I. INTRODUCTION""; ""1. INTRODUCTION""; ""1.1. Summary""; ""1.2. Filtered modules and filtered characters""; ""1.3. Projective and self-dual modules""; ""1.4. Overview of paper""; ""1.5. Acknowledgements""; ""II. THE HECKE MODULE""; ""2. THE SIMPLE AND VERMA BASES""; ""2.1. Kazhdan-Lusztig polynomials""; ""2.2. The Hecke module: four equivalent definitions""; ""2.3. The Hecke module: proof of equivalences""; ""2.4. Duality and the simple basis""; ""2.5. The Hecke algebra action""; ""3. THE PROJECTIVE AND SELF-DUAL BASES""; ""3.1. The projective basis""
""3.2. Some elements of the Hecke algebra""""3.3. An involution of M[sup(*)]sub(s)]""; ""3.4. A new self-dual basis""; ""4. THE SPECIALIZED HECKE MODULE""; ""4.1. Definitions""; ""4.2. Duality polynomials""; ""4.3. A Jantzen sum formula""; ""III. THE FILTERED CATEGORY O[sub(s)]""; ""5. THE CATEGORY O AND TRANSLATION FUNCTORS""; ""5.1. The category and its Grothendieck group""; ""5.2. Translation functors""; ""6. THE FILTERED CATEGORY O[sub(s)] AND TRANSLATION FUNCTORS""; ""6.1. Definition and basic properties of the filtered category""; ""6.2. Some important filtrations""
""6.3. Translation functors on the filtered category""""IV. APPLICATIONS""; ""7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES""; ""7.1. Radical filtrations of generalized Verma modules""; ""7.2. Radical filtrations of projective indecomposable modules""; ""7.3. More on radical filtrations""; ""7.4. Rigidity of generalized Verma modules and projective modules""; ""8. SELF-DUAL PROJECTIVE MODULES AND THEIR FILTERED CHARACTERS""; ""8.1. Self-dual projective modules: review""; ""8.2. Filtered self-duality of certain projective modules""; ""8.3. Applications""
""9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS""""9.1. A class of self-dual modules with a Verma flag""; ""9.2. A category of self-dual modules""; ""REFERENCES""
Record Nr. UNINA-9910480580403321
Irving Ronald S. <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A filtered category OS and applications / / Ronald S. Irving
A filtered category OS and applications / / Ronald S. Irving
Autore Irving Ronald S. <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1990
Descrizione fisica 1 online resource (131 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Verma modules
Semisimple Lie groups
Filtered modules
ISBN 1-4704-0842-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""I. INTRODUCTION""; ""1. INTRODUCTION""; ""1.1. Summary""; ""1.2. Filtered modules and filtered characters""; ""1.3. Projective and self-dual modules""; ""1.4. Overview of paper""; ""1.5. Acknowledgements""; ""II. THE HECKE MODULE""; ""2. THE SIMPLE AND VERMA BASES""; ""2.1. Kazhdan-Lusztig polynomials""; ""2.2. The Hecke module: four equivalent definitions""; ""2.3. The Hecke module: proof of equivalences""; ""2.4. Duality and the simple basis""; ""2.5. The Hecke algebra action""; ""3. THE PROJECTIVE AND SELF-DUAL BASES""; ""3.1. The projective basis""
""3.2. Some elements of the Hecke algebra""""3.3. An involution of M[sup(*)]sub(s)]""; ""3.4. A new self-dual basis""; ""4. THE SPECIALIZED HECKE MODULE""; ""4.1. Definitions""; ""4.2. Duality polynomials""; ""4.3. A Jantzen sum formula""; ""III. THE FILTERED CATEGORY O[sub(s)]""; ""5. THE CATEGORY O AND TRANSLATION FUNCTORS""; ""5.1. The category and its Grothendieck group""; ""5.2. Translation functors""; ""6. THE FILTERED CATEGORY O[sub(s)] AND TRANSLATION FUNCTORS""; ""6.1. Definition and basic properties of the filtered category""; ""6.2. Some important filtrations""
""6.3. Translation functors on the filtered category""""IV. APPLICATIONS""; ""7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES""; ""7.1. Radical filtrations of generalized Verma modules""; ""7.2. Radical filtrations of projective indecomposable modules""; ""7.3. More on radical filtrations""; ""7.4. Rigidity of generalized Verma modules and projective modules""; ""8. SELF-DUAL PROJECTIVE MODULES AND THEIR FILTERED CHARACTERS""; ""8.1. Self-dual projective modules: review""; ""8.2. Filtered self-duality of certain projective modules""; ""8.3. Applications""
""9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS""""9.1. A class of self-dual modules with a Verma flag""; ""9.2. A category of self-dual modules""; ""REFERENCES""
Record Nr. UNINA-9910788872703321
Irving Ronald S. <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A filtered category OS and applications / / Ronald S. Irving
A filtered category OS and applications / / Ronald S. Irving
Autore Irving Ronald S. <1952->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1990
Descrizione fisica 1 online resource (131 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Verma modules
Semisimple Lie groups
Filtered modules
ISBN 1-4704-0842-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""CONTENTS""; ""I. INTRODUCTION""; ""1. INTRODUCTION""; ""1.1. Summary""; ""1.2. Filtered modules and filtered characters""; ""1.3. Projective and self-dual modules""; ""1.4. Overview of paper""; ""1.5. Acknowledgements""; ""II. THE HECKE MODULE""; ""2. THE SIMPLE AND VERMA BASES""; ""2.1. Kazhdan-Lusztig polynomials""; ""2.2. The Hecke module: four equivalent definitions""; ""2.3. The Hecke module: proof of equivalences""; ""2.4. Duality and the simple basis""; ""2.5. The Hecke algebra action""; ""3. THE PROJECTIVE AND SELF-DUAL BASES""; ""3.1. The projective basis""
""3.2. Some elements of the Hecke algebra""""3.3. An involution of M[sup(*)]sub(s)]""; ""3.4. A new self-dual basis""; ""4. THE SPECIALIZED HECKE MODULE""; ""4.1. Definitions""; ""4.2. Duality polynomials""; ""4.3. A Jantzen sum formula""; ""III. THE FILTERED CATEGORY O[sub(s)]""; ""5. THE CATEGORY O AND TRANSLATION FUNCTORS""; ""5.1. The category and its Grothendieck group""; ""5.2. Translation functors""; ""6. THE FILTERED CATEGORY O[sub(s)] AND TRANSLATION FUNCTORS""; ""6.1. Definition and basic properties of the filtered category""; ""6.2. Some important filtrations""
""6.3. Translation functors on the filtered category""""IV. APPLICATIONS""; ""7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES""; ""7.1. Radical filtrations of generalized Verma modules""; ""7.2. Radical filtrations of projective indecomposable modules""; ""7.3. More on radical filtrations""; ""7.4. Rigidity of generalized Verma modules and projective modules""; ""8. SELF-DUAL PROJECTIVE MODULES AND THEIR FILTERED CHARACTERS""; ""8.1. Self-dual projective modules: review""; ""8.2. Filtered self-duality of certain projective modules""; ""8.3. Applications""
""9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS""""9.1. A class of self-dual modules with a Verma flag""; ""9.2. A category of self-dual modules""; ""REFERENCES""
Record Nr. UNINA-9910817123303321
Irving Ronald S. <1952->  
Providence, Rhode Island : , : American Mathematical Society, , 1990
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1992]
Descrizione fisica 1 online resource (288 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Lie groups
Representations of groups
Verma modules
Soggetto genere / forma Electronic books.
ISBN 0-8218-7730-5
0-8218-5474-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""A Counterexample to the Gabber-Joseph Conjecture""; ""Equivariant Intersection Cohomology""; ""Some Remarks on Regular Weyl Group Orbits and the Cohomology of Schubert Varieties""; ""Infinitesimal Kazhdan-Lusztig Theories""; ""Harish-Chandra Modules for Semisimple Lie Groups with One Conjugacy Class of Cartan Subgroups""; ""A Simple Proof of a Necessary and Sufficient Condition for the Existence of Nontrivial Global Sections of a Line Bundle on a Schubert Variety""; ""Kazhdan-Lusztig Bases and Isomorphism Theorems for q-Schur Algebras""
""Heeke Algebras and Shellings of Bruhat Intervals II Twisted Bruhat Orders""; ""On Bases of Irreducible Representations of Quantum G Ln""; ""Morita Equivalence of Primitive Factors of U(sl(2))""; ""Degeneracy of Schubert Varieties""; ""Singular Blocks of the Category Î? , II""; ""A Geometric Realization of Minimal t-Type of Harish-Chandra Modules for Complex S. S. Groups""; ""Towards a Generalized Bruhat Decomposition""
Record Nr. UNINA-9910480613903321
Providence, Rhode Island : , : American Mathematical Society, , [1992]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1992]
Descrizione fisica 1 online resource (288 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Lie groups
Representations of groups
Verma modules
ISBN 0-8218-7730-5
0-8218-5474-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""A Counterexample to the Gabber-Joseph Conjecture""; ""Equivariant Intersection Cohomology""; ""Some Remarks on Regular Weyl Group Orbits and the Cohomology of Schubert Varieties""; ""Infinitesimal Kazhdan-Lusztig Theories""; ""Harish-Chandra Modules for Semisimple Lie Groups with One Conjugacy Class of Cartan Subgroups""; ""A Simple Proof of a Necessary and Sufficient Condition for the Existence of Nontrivial Global Sections of a Line Bundle on a Schubert Variety""; ""Kazhdan-Lusztig Bases and Isomorphism Theorems for q-Schur Algebras""
""Heeke Algebras and Shellings of Bruhat Intervals II Twisted Bruhat Orders""; ""On Bases of Irreducible Representations of Quantum G Ln""; ""Morita Equivalence of Primitive Factors of U(sl(2))""; ""Degeneracy of Schubert Varieties""; ""Singular Blocks of the Category Î? , II""; ""A Geometric Realization of Minimal t-Type of Harish-Chandra Modules for Complex S. S. Groups""; ""Towards a Generalized Bruhat Decomposition""
Record Nr. UNINA-9910788641603321
Providence, Rhode Island : , : American Mathematical Society, , [1992]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Kazhdan-Lusztig theory and related topics : proceedings of an AMS Special Session held May 19-20, 1989 at the University of Chicago, Lake Shore Campus, Chicago, Illinois / / [edited by] Vinay Deodhar
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1992]
Descrizione fisica 1 online resource (288 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Lie groups
Representations of groups
Verma modules
ISBN 0-8218-7730-5
0-8218-5474-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""A Counterexample to the Gabber-Joseph Conjecture""; ""Equivariant Intersection Cohomology""; ""Some Remarks on Regular Weyl Group Orbits and the Cohomology of Schubert Varieties""; ""Infinitesimal Kazhdan-Lusztig Theories""; ""Harish-Chandra Modules for Semisimple Lie Groups with One Conjugacy Class of Cartan Subgroups""; ""A Simple Proof of a Necessary and Sufficient Condition for the Existence of Nontrivial Global Sections of a Line Bundle on a Schubert Variety""; ""Kazhdan-Lusztig Bases and Isomorphism Theorems for q-Schur Algebras""
""Heeke Algebras and Shellings of Bruhat Intervals II Twisted Bruhat Orders""; ""On Bases of Irreducible Representations of Quantum G Ln""; ""Morita Equivalence of Primitive Factors of U(sl(2))""; ""Degeneracy of Schubert Varieties""; ""Singular Blocks of the Category Î? , II""; ""A Geometric Realization of Minimal t-Type of Harish-Chandra Modules for Complex S. S. Groups""; ""Towards a Generalized Bruhat Decomposition""
Record Nr. UNINA-9910828930903321
Providence, Rhode Island : , : American Mathematical Society, , [1992]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui