Weyl Modules Associated to Kac–Moody Lie Algebras

DOI10.1080/00927872.2015.1130143zbMath1403.17025arXiv1501.04802OpenAlexW1852295657MaRDI QIDQ2827235

Sachin S. Sharma, Vyacheslav M. Futorny, Senapathi Eswara Rao

Publication date: 12 October 2016

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

Full work available at URL: https://arxiv.org/abs/1501.04802

zbMATH Keywords

tensor product decompositionlocal Weyl modulesKac-Moody Lie algebras

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 (7)

Unnamed Item ⋮ Weyl modules for toroidal Lie algebras ⋮ On truncated Weyl modules ⋮ Spectral characters of a class of integrable representations of toroidal Lie algebras ⋮ Generalized Casimir operators ⋮ Modules for loop Affine-Virasoro algebras ⋮ Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Cites Work

• Local Weyl modules for equivariant map algebras with free abelian group actions
• A categorical approach to Weyl modules
• Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\)
• Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
• Weyl modules for the twisted loop algebras
• Multi-dimensional Weyl modules and symmetric functions
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Irreducible representations for toroidal Lie-algebras
• Demazure modules and Weyl modules: The twisted current case
• Representations of Loop Kac-Moody Lie Algebras
• Unnamed Item

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