The duality correspondence of infinitesimal characters

Tomasz Przebinda

Type: Article

Publication Date: 1996-01-01

Citations: 50

DOI: https://doi.org/10.4064/cm-70-1-93-102

Abstract

We determine the correspondence of infinitesimal characters of representations which occur in Howe's Duality Theorem. In the appendix we identify the lowest K-types, in the sense of Vogan, of the unitary highest weight representations of real reductive du

Locations

Colloquium Mathematicum - View - PDF

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Works Cited by This (15)

Action	Title	Year	Authors
+	A Classification of Unitary Highest Weight Modules	1983	Thomas J. Enright Roger Howe Nolan R. Wallach
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys
+	Representation Theory of Semisimple Groups: An Overview Based on Examples	1986	Anthony W. Knapp
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki
+	Criteria for the unitarizability of some highest weight modules	1980	R. Parthasarathy
+	Unitary highest weight modules	1987	Jeffrey Adams
+	On the Segal-Shale-Weil representations and harmonic polynomials	1978	Masaki Kashiwara Michèle Vergne
+	Discrete spectrum of the reductive dual pair (O(p, q), Sp(2m))	1983	Jeffrey Adams
+ PDF Chat	Transcending classical invariant theory	1989	Roger Howe
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason