A note on the continuation of Borel-de Siebenthal discrete series out of the canonical chamber

DOI10.1006/JABR.1993.1006zbMath0799.22007OpenAlexW2002300556MaRDI QIDQ1204439

Pierluigi Möseneder Frajria

Publication date: 29 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1006

zbMATH Keywords

unitary representationLie algebradiscrete seriesgeneralized Verma modulesmaximal compact subgroupsimple rootshighest weight modulepositive rootscompact Cartan subalgebrareal reductive groupBorel- de Siebenthal chamberZuckerman functors

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)

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