Dual pairs correspondences of \(E_{8,4}\) and \(E_{7,4}\)

DOI10.1007/BF02780175zbMath0937.22009OpenAlexW2035916962MaRDI QIDQ1961342

Huang Yean Loke

Publication date: 17 January 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02780175

zbMATH Keywords

minimal representationsHowe correspondences

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Restrictions of quaternionic representations

Cites Work

• Restrictions and expansions of holomorphic representations
• A proof of Blattner's conjecture
• Some properties of squareintegrable representations of semisimple Lie groups
• Two reductive dual pairs in groups of type \(E\)
• On the discrete spectrum of \((G_2, PGSp_6)\)
• Dolbeault cohomological realization of Zuckerman modules associated with finite rank representations
• New dual pair correspondences
• The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups
• Unitary Representations of Reductive Lie Groups. (AM-118)
• A Vanishing Theorem for Open Orbits on Complex Flag Manifolds
• On quaternionic discrete series representations, and their continuations.
• The characters of the holomorphic discrete series
• The duality correspondence of infinitesimal characters
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