Title Statements
- Full title :A filtered category OS and applications / Ronald S. Irving.
Edition Statements
- Publication Date:©1990
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©1990
Notes
"January 1990, volume 83, number 419 (first of 6 numbers)."
The Physical Object
- Description:1 online resource (131 pages)
Edition Identifiers
- ISBN:9781470408428, 1470408422
- oclc:ocn891383999
- LC Classification:QA171
- Dewey Decimal:512/.2
Table of Contents
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 algebra3.3. 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 categoryIV. APPLICATIONS -- 7. RADICAL FILTRATIONS OF GENERALIZED VER…
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