Memoirs of the American Mathematical Society ; Volume 95, Number 462. [More in this series]
Memoirs of the American Mathematical Society, 0065-9266 ; Volume 95, Number 462 [More in this series]
Notes
"January 1992, Volume 95, Number 462 (end of volume)."
Bibliographic references
Includes bibliographical references.
Source of description
Description based on print version record.
Language note
English
Contents
""Contents""; ""0. Introduction""; ""1. Notation""; ""1. Î?-stable parabolic subalgebra""; ""2. good range, fair range""; ""3. cohomological parabolic induction""; ""4. results from Zuckerman and Vogan""; ""5. results from Harish-Chandra and Oshima-Matsuki""; ""2. Main results""; ""1. G = Spfaq)""; ""2. main theorem for G = Sp(p,q)""; ""3. G = U(p,q)""; ""4. main theorem for G = U(p,q)""; ""5. G = SO0(p,q)""; ""6. main theorem for G = SOo( p,q)""; ""7. list and figures of various conditions on parameters""; ""8. remarks""; ""3. Further notations and preliminary results""
""1. Jantzen-Zuckerman's translation functor""""2. induction by stages""; ""3. definition of A (Î»[omitted] Î»')""; ""4. A (Î»[omitted] Î»') and derived functor modules""; ""5. some symbols""; ""4. Some explicit formulas on K multiplicities""; ""1. preliminaries""; ""2. some alternating polynomials""; ""3. result in quaternionic case""; ""4. result in complex case""; ""5. result in real case""; ""6. some auxiliary lemmas""; ""7. proof for quarternionic case""; ""8. proof for complex case""; ""9. proof for real case""
""10. verification of (6.5.4)(c)""""11. proof of Corollary(6.4.1)""; ""7. Proof of vanishing results outside the fair range""; ""1. proof in complex case""; ""2. vanishing result in quaternionic case""; ""3. maximal parabolic case""; ""4. general parabolic case""; ""8. Proof of the inequivalence results""; ""1. quarternionic case""; ""2. orthogonal case""; ""References""
ISBN
1-4704-0888-0
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