Category of Harish-Chandra modules of the group \(\mathrm{SU}(n,1)\)

DOI10.1007/BF01086574zbMath0453.22010MaRDI QIDQ1149009

Sergey M. Khoroshkin

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/faa/v14/i2/p85

zbMATH Keywords

root systemsHarish-Chandra moduleinfinitesimal characterfinite center

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Irreducible representations of Lorentz groups ⋮ Invariant syzygies and semisimple groups

Cites Work

• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Step algebras of semi-simple subalgebras of Lie algebras
• Classification and the characters of irreducible representations of ${SU}\left( {p,1} \right)$

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