An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t]\) to invariant theory

DOI10.1016/j.jalgebra.2011.09.017zbMath1300.13005arXiv1104.4048OpenAlexW2962790246MaRDI QIDQ420692

Vyjayanthi Chari, Sergey Loktev

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4048

zbMATH Keywords

invariant theorycurrent algebrasglobal Weyl modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (3)

Duality theorems for current groups ⋮ BGG reciprocity for current algebras ⋮ Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Cites Work

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• A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras
• Multi-dimensional Weyl modules and symmetric functions
• On level-zero representation of quantized affine algebras.
• Current algebras, highest weight categories and quivers
• On homomorphisms between global Weyl modules
• Introduction to Lie Algebras and Representation Theory
• BGG reciprocity for current algebras

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