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[null,"1.","Record Nr.",null,"UNINA9910788872703321"]
[null,null,"Autore",null,"Irving Ronald S. <1952->"]
[null,null,"Titolo",null,"A filtered category OS and applications / / Ronald S. Irving"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1990"]
[{"$nulls":4},"©1990"]
[null,null,"ISBN",null,"1-4704-0842-2"]
[null,null,"Descrizione fisica",null,"1 online resource (131 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 83, Number 419"]
[null,null,"Disciplina",null,"512/.2"]
[null,null,"Soggetti",null,"Verma modules"]
[{"$nulls":4},"Semisimple Lie groups"]
[{"$nulls":4},"Filtered modules"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"January 1990, volume 83, number 419 (first of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"CONTENTS\"\"; \"\"I. INTRODUCTION\"\"; \"\"1. INTRODUCTION\"\"; \"\"1.1. Summary\"\"; \"\"1.2. Filtered modules and filtered characters\"\"; \"\"1.3. Projective and self-dual modules\"\"; \"\"1.4. Overview of paper\"\"; \"\"1.5. Acknowledgements\"\"; \"\"II. THE HECKE MODULE\"\"; \"\"2. THE SIMPLE AND VERMA BASES\"\"; \"\"2.1. Kazhdan-Lusztig polynomials\"\"; \"\"2.2. The Hecke module: four equivalent definitions\"\"; \"\"2.3. The Hecke module: proof of equivalences\"\"; \"\"2.4. Duality and the simple basis\"\"; \"\"2.5. The Hecke algebra action\"\"; \"\"3. THE PROJECTIVE AND SELF-DUAL BASES\"\"; \"\"3.1. The projective basis\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"6.3. Translation functors on the filtered category\"\"\"\"IV. APPLICATIONS\"\"; \"\"7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES\"\"; \"\"7.1. Radical filtrations of generalized Verma modules\"\"; \"\"7.2. Radical filtrations of projective indecomposable modules\"\"; \"\"7.3. More on radical filtrations\"\"; \"\"7.4. "]
[{"$nulls":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\"\""]
[{"$nulls":4},"\"\"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\"\""]