Classification of unitary highest weight representations for noncompact real forms

DOI10.1063/1.528811zbMath0705.17005arXivmath-ph/0312062OpenAlexW3103776353MaRDI QIDQ3485028

Juan García Escudero, Miguel Lorente

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0312062

zbMATH Keywords

Hermitian symmetric spaceshighest weightsJakobsen methodUnitarizability on noncompact real forms

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Dirac cohomology for the BGG category \(\mathcal{O} \)

Cites Work

• Hermitian symmetric spaces and their unitary highest weight modules
• The last possible place of unitarity for certain highest weight modules
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Representations of Semisimple Lie Groups IV
• Construction of extremal vectors for Verma submodules of Verma modules
• Quantization of conformally invariant Bargmann–Wigner equations with gauge freedom

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