Construction of extremal vectors for Verma submodules of Verma modules

DOI10.1063/1.526345zbMath0551.17001OpenAlexW2090741882MaRDI QIDQ3344331

Bruno Gruber, Miguel Lorente

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526345

zbMATH Keywords

algorithmhighest weightsextremal vectorssimple Lie algebraVerma submodules of Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Classification of unitary highest weight representations for noncompact real forms, On induced scalar products and unitarization, Quantization of conformally invariant Bargmann–Wigner equations with gauge freedom

Cites Work

• Structure of representations generated by vectors of highest weight
• Structure of certain induced representations of complex semisimple Lie algebras