Unitary highest weight-modules of inductive limit Lie algebras and groups

DOI10.1006/jabr.1994.1173zbMath0829.22028OpenAlexW2092399663WikidataQ115396243 ScholiaQ115396243MaRDI QIDQ1330017

Loki Natarajan

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1173

zbMATH Keywords

highest weight representationsVerma modulesmaximal compact subgrouplimit representationunitarizabilityfinite-dimensional Lie groupsrepresentations of inductive limits

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

The Bott–Borel–Weil Theorem for direct limit groups, Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite dimensional domains, A construction of generalized Harish-Chandra modules for locally reductive Lie algebras, Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups, Finitary simple Lie algebras, Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras