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|a 1259247030
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|a 9781470408428
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|z 9780821824825
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|a (OCoLC)891383999
|z (OCoLC)1259247030
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|a QA171
|b .I785 1990eb
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|a HCDD
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|a Irving, Ronald S.,
|d 1952-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjGTmrTPdrkwVgJQ3h8W8P
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|a A filtered category OS and applications /
|c Ronald S. Irving.
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c 1990.
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|c ©1990
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|a 1 online resource (131 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v Volume 83, Number 419
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|a "January 1990, volume 83, number 419 (first of 6 numbers)."
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|a Includes bibliographical references.
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|a Print version record.
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|a 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
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|a 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
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|a 6.3. Translation functors on the filtered categoryIV. 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
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|a 9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS9.1. A class of self-dual modules with a Verma flag -- 9.2. A category of self-dual modules -- REFERENCES
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|a English.
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|a Verma modules.
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|a Semisimple Lie groups.
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| 650 |
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|a Filtered modules.
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|a Filtered modules
|2 fast
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|a Semisimple Lie groups
|2 fast
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|a Verma modules
|2 fast
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|i Print version:
|a Irving, Ronald S., 1952-
|t Filtered category OS and applications.
|d Providence, Rhode Island : American Mathematical Society, ©1990
|h v, 117 pages
|k Memoirs of the American Mathematical Society ; Volume 83, Number 419
|x 0065-9266
|z 9780821824825
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| 830 |
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|a Memoirs of the American Mathematical Society ;
|v Volume 83, no. 419.
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| 856 |
4 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113782
|y Click for online access
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|a EBC-AC
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|a 92
|b HCD
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