Simple A2-modules with a finite dimensional weight space
From MaRDI portal
Publication:4324212
DOI10.1080/00927879508825232zbMath0819.17007OpenAlexW2062822601MaRDI QIDQ4324212
F. W. Lemire, Vyacheslav M. Futorny, Daniel Britten
Publication date: 26 February 1995
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879508825232
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (12)
A New Functor fromE6-mod toE7-mod ⋮ Conformal oscillator representations of orthogonal Lie algebras ⋮ A new functor from \(D_5-\mathrm{Mod}\) to \(E_6-\mathrm{Mod}\) ⋮ A class of infinite-dimensional weight \(sl(3)\)-modules ⋮ Classification of irreducible weight modules ⋮ \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras ⋮ Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras ⋮ A Construction of Modular Representations of Classical Lie Algebras ⋮ Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\) ⋮ Representations of E7, equivalent combinatorics and algebraic varieties ⋮ On modules of bounded multiplicities for the symplectic algebras ⋮ Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)
Cites Work
- Unnamed Item
- On the tensor product of a finite and an infinite dimensional representation
- Projection maps for tensor products of \({\mathfrak g\mathfrak l}(r,\mathbb{C})\)- representations
- A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3)
- Formal analytic continuation of Gel’fand’s finite dimensional representations of gl(n,C)
- Lie Algebra Modules with Finite Dimensional Weight Spaces, I
- Introduction to Lie Algebras and Representation Theory
This page was built for publication: Simple A2-modules with a finite dimensional weight space
