Demazure modules and Weyl modules: The twisted current case

DOI10.1090/S0002-9947-2013-05846-1zbMath1287.17016arXiv1108.5960MaRDI QIDQ2849040

Deniz Kus, Ghislain Fourier

Publication date: 16 September 2013

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

Full work available at URL: https://arxiv.org/abs/1108.5960

zbMATH Keywords

Weyl modulesDemazure modulestwisted current algebra

Mathematics Subject Classification ID

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

Related Items (13)

Crystal bases as tuples of integer sequences ⋮ Quantum affine algebras, graded limits and flags ⋮ Integrable representations of root-graded Lie algebras ⋮ Generalized Weyl modules for twisted current algebras ⋮ Global Weyl modules for the twisted loop algebra ⋮ BGG reciprocity for current algebras ⋮ Weyl modules and \(q\)-Whittaker functions ⋮ Finite-Dimensional Representations of Twisted Hyper-Loop Algebras ⋮ Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules ⋮ Twisted Demazure modules, fusion product decomposition and twisted 𝑄-systems ⋮ Weyl Modules Associated to Kac–Moody Lie Algebras ⋮ Demazure and Weyl modules for hyperalgebras of twisted current algebras ⋮ Demazure slices of type \(A_{2l}^{(2)}\)

Cites Work

• 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
• Representations of multiloop 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
• Weyl modules for the twisted loop algebras
• Polynomial relations among characters coming from quantum affine algebras
• Multi-dimensional Weyl modules and symmetric functions
• Kac-Moody groups, their flag varieties and representation theory
• Global Weyl modules for the twisted loop algebra
• Quiver varieties and finite dimensional representations of quantum affine algebras
• Irreducible finite-dimensional representations of equivariant map algebras
• Tensor Product Structure of Affine Demazure Modules and Limit Constructions
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