A Note on Weyl Modules for ∞and ∞

DOI10.1080/00927870802179362zbMath1210.17030OpenAlexW2071687797MaRDI QIDQ5301506

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Publication date: 20 January 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802179362

zbMATH Keywords

Shapovalov form

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

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• Elementary divisors of the Shapovalov form on the basic representation of Kac-Moody algebras
• Basic representations of affine Lie algebras and dual resonance models
• Irreducible modules and parabolic subgroups
• On the modular representations of the general linear and symmetric groups
• Cartan determinants and Shapovalov forms
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• Centers of degenerate cyclotomic Hecke algebras and parabolic category 𝒪

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