Unitary highest weight modules

Jeffrey Adams

Type: Article

Publication Date: 1987-02-01

Citations: 30

DOI: https://doi.org/10.1016/0001-8708(87)90049-1

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Locations

Advances in Mathematics - View

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Works That Cite This (30)

Action	Title	Year	Authors
+ PDF Chat	Hilbert series, Howe duality, and branching rules	2003	Thomas J. Enright Jeb F. Willenbring
+	Dirac inequality for highest weight Harish-Chandra modules I	2023	Pavle Pandžić Ana Prlić Vladimı́r Souček Vít Tuček
+ PDF Chat	Geometric Construction of Certain Highest Weight Modules	1985	Roger Zierau
+	One-Dimensional Representations of U (p,q) and the Howe Correspondence	2002	Annegret Paul Peter E. Trapa
+	Coadjoint orbits and reductive dual pairs	1987	Jeffrey Adams
+	Discrete Series Representations for the Orbit Spaces Arising from Two Involutions of Real Reductive Lie Groups	1998	Toshiyuki Kobayashi
+ PDF Chat	A program for branching problems in the representation theory of real reductive groups	2015	Toshiyuki Kobayashi
+	Weyl calculus and dual pairs	2014	Mark McKee Angela Pasquale Tomasz Przebinda
+	Discrete Decomposability of the Restriction of A q (λ) with Respect to Reductive Subgroups II: Micro-Local Analysis and Asymptotic K-Support	1998	Toshiyuki Hobayashi
+	Rings of differential operators on classical rings of invariants	1989	Thierry Levasseur J. T. Stafford

Works Cited by This (16)

Action	Title	Year	Authors
+	A Classification of Unitary Highest Weight Modules	1983	Thomas J. Enright Roger Howe Nolan R. Wallach
+	Unitary representations with non-zero cohomology	1984	David A. Vogan Gregg J. Zuckerman
+	On some problems suggested by the trace formula	1983	James Arthur
+	Discrete Series for Semisimple Symmetric Spaces	1980	Mogens Flensted–Jensen
+	On the unitarizability of derived functor modules	1984	Nolan R. Wallach
+	Coadjoint orbits and reductive dual pairs	1987	Jeffrey Adams
+	The Langlands parameters of Flensted-Jensen's discrete series for semisimple symmetric spaces	1983	Henrik Schlichtkrull
+	Unitarizability of Certain Series of Representations	1984	David A. Vogan
+	Hermitian symmetric spaces and their unitary highest weight modules	1983	Hans Plesner Jakobsen
+	Discrete spectrum of the reductive dual pair (O(p, q), Sp(2m))	1983	Jeffrey Adams