The Penrose transform and analytic cohomology in representation theory : AMSIMSSIAM summer research conference, June 27 to July 3, 1992, Mount Holyoke College, South Hadley, Massachusetts

Contributor(s): Eastwood Michael G | Wolf Joseph Albert | Zierau RogerMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 154Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (x, 259 p. : ill.)ISBN: 9780821877456 (online)Subject(s): Penrose transform | Representations of groups | Semisimple Lie groupsOnline resources: Click here to access online
Contents:
Introduction to representations in analytic cohomology ; Admissible representations and geometry of flag manifolds ; Unipotent representations and cohomological induction ; Introduction to Penrose transform ; Strongly harmonic differential forms on elliptic orbits ; A finiteness theorem for quaternionicKahler manifolds with positive scalar curvature ; Holomorphic language for A W Knapp ; Joseph A Wolf ; David A Vogan Jr ; Michael Eastwood ; L Barchini ; Claude LeBrun ; Simon Gindikin ; Edward G Dunne and Roger Zierau ; Dragan Milicic ; Toby N Bailey ; MengKiat Chuah and Victor Guillemin ; John W Rice ; H W Wong ; Dan Barbasch ; Roger Zierau
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The AMSIMSSIAM Summer Research Conference in the Mathematical Sciences on the Penrose Transform and Analytic Cohomology in Representation Theory was held at Mount Holyoke College, South Hadley, Massachusetts, from June 27 to July 3, 1992T.p. verso.

Includes bibliographical references.

Introduction to representations in analytic cohomology ; Admissible representations and geometry of flag manifolds ; Unipotent representations and cohomological induction ; Introduction to Penrose transform ; Strongly harmonic differential forms on elliptic orbits ; A finiteness theorem for quaternionicKahler manifolds with positive scalar curvature ; Holomorphic language for overline \partial ohomology and representations of real semisimple Lie groups ; Twistor theory for indefinite Kahler symmetric spaces ; Algebraic scr D odules and representation theory of semisimple Lie groups ; Parabolic invariant theory and geometry ; Kaehler structures on _\bf CN ; Cousin complexes and resolutions of representations ; Dolbeault cohomologies and Zuckerman modules ; Unipotent representations and derived functor modules ; Unitarity of certain Dolbeault cohomology representations A W Knapp ; Joseph A Wolf ; David A Vogan Jr ; Michael Eastwood ; L Barchini ; Claude LeBrun ; Simon Gindikin ; Edward G Dunne and Roger Zierau ; Dragan Milicic ; Toby N Bailey ; MengKiat Chuah and Victor Guillemin ; John W Rice ; H W Wong ; Dan Barbasch ; Roger Zierau

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