Local Weyl modules for equivariant map algebras with free abelian group actions

DOI10.1016/j.jalgebra.2011.10.018zbMath1268.17022arXiv1103.5766OpenAlexW2097857581MaRDI QIDQ420739

Alistair Savage, Tanusree Khandai, Ghislain Fourier, Deniz Kus

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/1103.5766

zbMATH Keywords

Weyl modulesrepresentation theoryequivariant map algebrasloop algebras

Mathematics Subject Classification ID

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

Related Items (16)

Bases for local Weyl modules for the hyper and truncated current \(\mathfrak{sl}_2\)-algebras ⋮ Invariant polynomials on truncated multicurrent algebras ⋮ Quantum affine algebras, graded limits and flags ⋮ Global Weyl modules for the twisted loop algebra ⋮ BGG reciprocity for current algebras ⋮ Borel-de Siebenthal pairs, global Weyl modules and Stanley-Reisner rings ⋮ Equivariant map superalgebras ⋮ Weyl modules and Weyl functors for Lie superalgebras ⋮ Finite-Dimensional Representations of Twisted Hyper-Loop Algebras ⋮ Twisted Demazure modules, fusion product decomposition and twisted 𝑄-systems ⋮ Finite-dimensional representations of hyper multicurrent and multiloop algebras ⋮ Weyl modules for Lie superalgebras ⋮ Weyl Modules Associated to Kac–Moody Lie Algebras ⋮ Weyl modules and Weyl functors for hyper-map algebras ⋮ Demazure modules and Weyl modules: The twisted current case ⋮ Demazure and Weyl modules for hyperalgebras of twisted current algebras

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Extensions between finite-dimensional simple modules over a generalized current Lie algebra
• 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
• Weyl modules for the twisted loop algebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Multi-dimensional Weyl modules and symmetric functions
• Standard modules of quantum affine algebras
• Spectral characters of finite-dimensional representations of affine algebras
• Extensions and block decompositions for finite-dimensional representations of equivariant map algebras
• Kirillov-Reshetikhin Conjecture: The General Case
• Quiver varieties and finite dimensional representations of quantum affine algebras
• Irreducible finite-dimensional representations of equivariant map algebras

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