An algebraic construction of a class of representations of a semi-simple Lie algebra

DOI10.1007/BF01391217zbMath0374.17002WikidataQ115393605 ScholiaQ115393605MaRDI QIDQ1245284

Rajagopalan Parthasarathy

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162939

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

\(L_0\)-types common to a Borel-de Siebenthal discrete series and its associated holomorphic discrete series ⋮ Criteria for the unitarizability of some highest weight modules ⋮ Harmonic analysis on reductive Lie groups ⋮ Unitary derived functor modules with small spectrum

Cites Work

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• Multiplicity formulae for discrete series
• On the characters of the discrete series. The Hermitian symmetric case
• Some properties of squareintegrable representations of semisimple Lie groups
• Dirac operator and the discrete series
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS

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