The full set of unitarizable highest weight modules of basic classical Lie superalgebras

DOI10.1090/memo/0532zbMath0811.17002OpenAlexW2002103933MaRDI QIDQ4309697

Hans Plesner Jakobsen

Publication date: 28 November 1994

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0532

zbMATH Keywords

unitarizable representationsexceptional Lie superalgebrasorthosymplectic Lie superalgebrasunitarizable highest weight modulesbasic Lie superalgebrasinfinite-dimensional unitarizable representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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