Highest-weight theory for truncated current Lie algebras

DOI10.1016/j.jalgebra.2011.04.015zbMath1275.17041arXiv0705.1203OpenAlexW2088511768WikidataQ115351194 ScholiaQ115351194MaRDI QIDQ657939

Benjamin J. Wilson

Publication date: 11 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1203

zbMATH Keywords

Kac-Moody Lie algebrarepresentation theorycurrent algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68)

Related Items

Determinant formula and a realization for the Lie algebra \(W(2,2)\) ⋮ Bases for local Weyl modules for the hyper and truncated current \(\mathfrak{sl}_2\)-algebras ⋮ LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Invariant polynomials on truncated multicurrent algebras ⋮ Finite W-algebras associated to truncated current Lie algebras ⋮ Wild local structures of automorphic Lie algebras ⋮ Realizations of 𝐴₁⁽¹⁾-modules in category ̃𝒪 ⋮ Simple modules over the Takiff Lie algebra for sl2 ⋮ Category \(\mathcal{O}\) for Takiff Lie algebras ⋮ On simple modules over conformal Galilei algebras ⋮ Homological and monodromy representations of framed braid groups ⋮ Compatibility of the Feigin-Frenkel Isomorphism and the Harish-Chandra Isomorphism for jet algebras ⋮ Category O for Takiff sl2 ⋮ Reductivity of the Lie Algebra of a Bilinear Form ⋮ The deformed Lie algebra of differential operators of order at most one ⋮ Weight modules with a finite dimensional weight space over truncated Virasoro algebras ⋮ A bi-Hamiltonian nature of the Gaudin algebras

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