Module structures on $\bm{U(\h)}$ for Kac-Moody algebras

DOI10.1360/N012016-00181zbMath1487.17048arXiv1606.01891MaRDI QIDQ5063782

Kaiming Zhao, Haijun Tan, Yan-an Cai

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01891

zbMATH Keywords

Kac-Moody algebrasirreducible modulenon-weight module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (9)

Non-weight modules over algebras related to the Virasoro algebra ⋮ A new class of irreducible modules over the affine-Virasoro algebra of type \(A_1\) ⋮ A family of simple modules over the Rueda's algebras ⋮ Irreducible tensor product modules over the affine-Virasoro algebra of type A ₁ ⋮ Electrical Lie algebras, the Schrödinger algebras and their representations ⋮ Irreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebra ⋮ New representations of affine Kac-Moody algebras ⋮ Non-weight modules over the affine-Virasoro algebra of type A1 ⋮ Non-weight modules over the mirror Heisenberg-Virasoro algebra

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