Irreducible Representations of A n with a 1-Dimensional Weight Space

DOI10.2307/1999926zbMath0492.17004OpenAlexW4234733451MaRDI QIDQ3953944

F. W. Lemire, Daniel Britten

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2307/1999926

zbMATH Keywords

irreducible representationssimple Lie algebrageneralized Harish-Chandra homomorphismweight space decomposition

Mathematics Subject Classification ID

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

Related Items (8)

Simple \(\mathfrak{sl} (V)\)-modules which are free over an abelian subalgebra ⋮ Finite weight modules over twisted affine Lie superalgebras ⋮ Irreducible s\(\ell (3)\)-modules with infinite-dimensional weight subspaces ⋮ Root Fernando-Kac subalgebras of finite type ⋮ A Construction of Modular Representations of Classical Lie Algebras ⋮ Galois orders in skew monoid rings. ⋮ Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\) ⋮ A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3)

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