BGG reciprocity for current algebras

DOI10.1016/j.aim.2012.05.005zbMath1292.17015arXiv1106.0347OpenAlexW2963704994MaRDI QIDQ5891654

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Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0347

zbMATH Keywords

Weyl modulerepresentation theorycurrent algebrageneralized Kostka polynomialsinfinite-dimensional Lie algebrasBGG reciprocity

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (11)

Realizations of 𝐴₁⁽¹⁾-modules in category ̃𝒪 ⋮ An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t\) to invariant theory] ⋮ Quantum affine algebras, graded limits and flags ⋮ BGG reciprocity for current algebras ⋮ Macdonald polynomials and BGG reciprocity for current algebras ⋮ Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t\)] ⋮ Demazure modules, fusion products and \(Q\)-systems ⋮ Affine highest weight categories and affine quasihereditary algebras ⋮ Work of Vyjayanthi Chari ⋮ Fusion product structure of Demazure modules ⋮ Classification of irreducible integrable highest weight modules for current Kac–Moody algebras

Cites Work

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• An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t\) to invariant theory]
• Local Weyl modules for equivariant map algebras with free abelian group actions
• A categorical approach to Weyl modules
• Weyl modules, Demazure modules and finite crystals for non-simply laced type
• 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
• The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• The arithmetic theory of loop algebras
• On level-zero representation of quantized affine algebras.
• Extensions and block decompositions for finite-dimensional representations of equivariant map algebras
• Current algebras, highest weight categories and quivers
• On homomorphisms between global Weyl modules
• Beyond Kirillov-Reshetikhin modules
• Irreducible finite-dimensional representations of equivariant map algebras
• Introduction to Lie Algebras and Representation Theory

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