SMALL SEMISIMPLE SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS

DOI10.1142/9789812770790_0011zbMath1390.17017arXivmath/0408302OpenAlexW1679495562MaRDI QIDQ4569262

Jeb F. Willenbring, Gregg J. Zuckerman

Publication date: 28 June 2018

Published in: Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408302

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)

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On the existence of infinite-dimensional generalized Harish-Chandra modules ⋮ Cramped subgroups and generalized Harish-Chandra modules ⋮ Branching from the general linear group to the symmetric group and the principal embedding ⋮ A construction of generalized Harish-Chandra modules for locally reductive Lie algebras ⋮ Lowest 𝔰𝔩(2)-types in 𝔰𝔩(𝔫)-representations

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