A survey of equivariant map algebras with open problems

zbMath1350.17001arXiv1211.1024MaRDI QIDQ4981395

Erhard Neher, Alistair Savage

Publication date: 24 June 2014

Full work available at URL: https://arxiv.org/abs/1211.1024

zbMATH Keywords

finite-dimensional representationsequivariant map algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for nonassociative algebras (17A60) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

Related Items (8)

Bases for local Weyl modules for the hyper and truncated current \(\mathfrak{sl}_2\)-algebras ⋮ Invariant polynomials on truncated multicurrent algebras ⋮ Finite irreducible representations of map Lie conformal algebras ⋮ Irreducible modules for equivariant map superalgebras and their extensions ⋮ On truncated Weyl modules ⋮ Finite-dimensional representations of hyper multicurrent and multiloop algebras ⋮ Weyl modules for Lie superalgebras ⋮ Generalized Casimir operators

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