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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 12$aA filtered category OS and applications /$fRonald S. Irving
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1990.
210  4$dİ1990
215   $a1 online resource (131 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 83, Number 419
300   $a"January 1990, volume 83, number 419 (first of 6 numbers)."
311   $a0-8218-2482-1 
320   $aIncludes bibliographical references.
327   $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""
327   $a""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""
327   $a""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""
327   $a""9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS""""9.1. A class of self-dual modules with a Verma flag""; ""9.2. A category of self-dual modules""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 83, Number 419.
606   $aVerma modules
606   $aSemisimple Lie groups
606   $aFiltered modules
615  0$aVerma modules.
615  0$aSemisimple Lie groups.
615  0$aFiltered modules.
676   $a512/.2
700   $aIrving$b Ronald S.$f1952-$0281943
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910817123303321
996   $aA filtered category OS and applications$93936656
997   $aUNINA