A new class of simple smooth modules over the affine algebra \(A_1^{(1)}\)

DOI10.1016/J.JALGEBRA.2024.06.023MaRDI QIDQ6597517

Khoa Nguyen, Kaiming Zhao, Yaohui Xue

Publication date: 3 September 2024

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

zbMATH Keywords

simple modulesaffine Kac-Moody Lie algebrasWhittaker modulessmooth modules

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) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Tensor Structures Arising from Affine Lie Algebras. I
• WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
• Affine Lie algebra representations induced from Whittaker modules
• Structure of certain induced representations of complex semisimple Lie algebras
• Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras

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