On homomorphisms between global Weyl modules

DOI10.1090/S1088-4165-2011-00407-6zbMath1250.17010arXiv1008.5213MaRDI QIDQ2889343

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Publication date: 7 June 2012

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5213

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (8)

An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t\) to invariant theory] ⋮ Homomorphisms between standard modules over finite-type KLR algebras ⋮ Quantum affine algebras, graded limits and flags ⋮ Square-bounded partitions and Catalan numbers ⋮ BGG reciprocity for current algebras ⋮ Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t\)] ⋮ On some families of modules for the current algebra ⋮ Weyl modules and Weyl functors for hyper-map algebras

Cites Work

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• A categorical approach to Weyl modules
• Crystal bases and two-sided cells of quantum affine algebras
• 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
• Multi-dimensional Weyl modules and symmetric functions
• On level-zero representation of quantized affine algebras.
• Beyond Kirillov-Reshetikhin modules
• Quiver varieties and finite dimensional representations of quantum affine algebras

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