Classification of the irreducible representations of 𝔰𝔩(2,ℭ)
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Publication:4200344
DOI10.1090/S0273-0979-1979-14573-7zbMath0412.17009OpenAlexW1507425137MaRDI QIDQ4200344
Publication date: 1979
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1979-14573-7
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (13)
The simple modules of the ore extensions with coefficients from a dedekind ring ⋮ Extreme modules over the Weyl algebra \(A_ n\) ⋮ The simple modules of certain generalized crossed products ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra ⋮ The algebra of integro-differential operators on an affine line and its modules. ⋮ Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2 ⋮ Simple holonomic modules over the second Weyl algebra \(A_2\) ⋮ Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras ⋮ Computation of \(H^*(sl(2),M)\) with coefficients in a simple \(sl(2)\)- module ⋮ Lie superalgebras ⋮ Generalized Verma modules induced from \(sl(2,\mathbb{C})\) and associated Verma modules ⋮ Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
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