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Beyond the quadratic formula / / Ron Irving [[electronic resource]]
| Beyond the quadratic formula / / Ron Irving [[electronic resource]] |
| Autore | Irving Ronald S. <1952-> |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2013 |
| Descrizione fisica | 1 online resource (xvi, 228 pages) : digital, PDF file(s) |
| Disciplina | 512.9/422 |
| Collana | Classroom resource materials |
| Soggetto topico |
Polynomials
Algebra |
| ISBN | 1-61444-112-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Polynomials -- Quadratic polynomials -- Cubic polynomials -- Complex numbers -- Cubic polynomials, II -- Quartic polynomials -- Higher-degree polynomials. |
| Record Nr. | UNINA-9910786846503321 |
Irving Ronald S. <1952->
|
||
| Washington : , : Mathematical Association of America, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond the quadratic formula / / Ron Irving [[electronic resource]]
| Beyond the quadratic formula / / Ron Irving [[electronic resource]] |
| Autore | Irving Ronald S. <1952-> |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2013 |
| Descrizione fisica | 1 online resource (xvi, 228 pages) : digital, PDF file(s) |
| Disciplina | 512.9/422 |
| Collana | Classroom resource materials |
| Soggetto topico |
Polynomials
Algebra |
| ISBN | 1-61444-112-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Polynomials -- Quadratic polynomials -- Cubic polynomials -- Complex numbers -- Cubic polynomials, II -- Quartic polynomials -- Higher-degree polynomials. |
| Record Nr. | UNINA-9910821848703321 |
|
Irving Ronald S. <1952->
|
||
| Washington : , : Mathematical Association of America, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||