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1.

図書

図書
Jeffrey Adams, David Vogan, editors
出版情報: Providence, R.I. : American Mathematical Society , [Princeton] : Institute for Advanced Study, c2000  xii, 340 p. ; 27 cm
シリーズ名: IAS/Park City mathematics series / [Dan Freed, series editor] ; v. 8
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目次情報: 続きを見る
Representations of semisimple Lie groups: Introduction / A. W. Knapp ; P. E. Trapa
Some representations of $SL(n,\mathbb{R})$
Semsimple groups and structure theory
Introduction to representation theory
Cartan subalgebras and highest weights
Action by the Lie algebra
Cartan subgroups and global characters
Discrete series and asymptotics
Langlands classification
Bibliography
Representations in Dolbeault cohomology: Introduction / R. Zierau
Complex flag varieties and orbits under a real form Open $G_0$-orbits
Examples, homogeneous bundles
Dolbeault cohomology, Bott-Borel-Weil theorem
Indefinite harmonic theory
Intertwining operators
The linear cycle space / I:
Unitary representations attached to elliptic orbits. A geometric approach: Introduction / L. Barchini
Globalizations Dolbeault cohomology and maximal globalization $L^2$-cohomology and discrete series representations
Indefinite quantization
The method of adjoint orbits for real reductive groups: Introduction / D. A. Vogan
Some ideas from mathematical physics
The Jordan decomposition and three kinds of quantization
Complex polarizations
The Kostant-Sekiguchi correspondence
Quantizing the action of $K$
Associated graded modules
A good basis for associated graded modules
Proving unitarity Exercises
Geometric methods in representation theory: Introduction / K. Vilonen
Overview Derived categories of constructible sheaves
Equivariant derived categories
Functors to representations
Matsuki correspondence for sheaves
Characteristic cyles
The character formula
Microlocalization of Matsuki = Sekiguchi
Homological algebra / M. Hunziker
Minimal representations and reductive dual pairs: Introduction / Jian-Shu Li
The oscillator representation
Models Duality Classification
Unitarity Minimal representations of classical groups
Dual pairs in simple groups
Representations of semisimple Lie groups: Introduction / A. W. Knapp ; P. E. Trapa
Some representations of $SL(n,\mathbb{R})$
Semsimple groups and structure theory
2.

図書

図書
David A. Vogan, Jr.
出版情報: Boston : Birkhaüser, 1981  xvii, 754 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 15
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3.

図書

図書
Anthony W. Knapp and David A. Vogan, Jr
出版情報: Princeton, N.J. : Princeton University Press, 1995  xvii, 948 p. ; 25 cm
シリーズ名: Princeton mathematical series ; 45
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4.

図書

図書
edited by Paul J. Sally, Jr. and David A. Vogan, Jr
出版情報: Providence, R.I. : American Mathematical Society, c1989  xi, 350 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; no. 31
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5.

図書

図書
Jeffrey Adams, Dan Barbasch, David A. Vogan, Jr
出版情報: Boston : Birkhäuser, 1992  xii, 318 p. ; 25 cm
シリーズ名: Progress in mathematics ; vol. 104
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