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The Penrose transform and analytic cohomology in representation theory : [electronic resource] AMS-IMS-SIAM summer research conference, June 27 to July 3, 1992, Mount Holyoke College, South Hadley, Massachusetts / Michael Eastwood, Joseph Wolf, Roger Zierau, editors.

Contributor(s): Eastwood, Michael G | Wolf, Joseph Albert, 1936- | Zierau, Roger, 1956- | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied Mathematics | AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Penrose Transform and Analytic Cohomology in Representation Theory (1992 : Mount Holyoke College)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 154.Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (x, 259 p. : ill.)ISBN: 9780821877456 (online)Subject(s): Semisimple Lie groups -- Congresses | Representations of groups -- Congresses | Penrose transform -- CongressesAdditional physical formats: Penrose transform and analytic cohomology in representation theory :DDC classification: 512/.55 LOC classification: QA387 | .P46 1993Online resources: Contents | Contents

Contents:

Introduction to representations in analytic cohomology / A. W. Knapp -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01353 Admissible representations and geometry of flag manifolds / Joseph A. Wolf -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01354 Unipotent representations and cohomological induction / David A. Vogan, Jr. -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01355 Introduction to Penrose transform / Michael Eastwood -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01356 Strongly harmonic differential forms on elliptic orbits / L. Barchini -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01357 A finiteness theorem for quaternionic-K�ahler manifolds with positive scalar curvature / Claude LeBrun -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01358 Holomorphic language for $\overline \partial $-cohomology and representations of real semisimple Lie groups / Simon Gindikin -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01359 Twistor theory for indefinite K�ahler symmetric spaces / Edward G. Dunne and Roger Zierau -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01360 Algebraic ${\scr D}$-modules and representation theory of semisimple Lie groups / Dragan Mili�ci�c -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01361 Parabolic invariant theory and geometry / Toby N. Bailey -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01362 Kaehler structures on $K_{\bf C}/N$ / Meng-Kiat Chuah and Victor Guillemin -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01363 Cousin complexes and resolutions of representations / John W. Rice -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01364 Dolbeault cohomologies and Zuckerman modules / H. W. Wong -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01365 Unipotent representations and derived functor modules / Dan Barbasch -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01366 Unitarity of certain Dolbeault cohomology representations / Roger Zierau -- http://www.ams.org/conm/154/ http://dx.doi.org/10.1090/conm/154/01367

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IMSc Library	IMSc Library			Link to resource	Available		EBK11436

"The AMS-IMS-SIAM 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, 1992"--T.p. verso.

Includes bibliographical references.

Introduction to representations in analytic cohomology / A. W. Knapp -- Admissible representations and geometry of flag manifolds / Joseph A. Wolf -- Unipotent representations and cohomological induction / David A. Vogan, Jr. -- Introduction to Penrose transform / Michael Eastwood -- Strongly harmonic differential forms on elliptic orbits / L. Barchini -- A finiteness theorem for quaternionic-K�ahler manifolds with positive scalar curvature / Claude LeBrun -- Holomorphic language for $\overline \partial $-cohomology and representations of real semisimple Lie groups / Simon Gindikin -- Twistor theory for indefinite K�ahler symmetric spaces / Edward G. Dunne and Roger Zierau -- Algebraic ${\scr D}$-modules and representation theory of semisimple Lie groups / Dragan Mili�ci�c -- Parabolic invariant theory and geometry / Toby N. Bailey -- Kaehler structures on $K_{\bf C}/N$ / Meng-Kiat Chuah and Victor Guillemin -- Cousin complexes and resolutions of representations / John W. Rice -- Dolbeault cohomologies and Zuckerman modules / H. W. Wong -- Unipotent representations and derived functor modules / Dan Barbasch -- Unitarity of certain Dolbeault cohomology representations / Roger Zierau --