Weyl modules for the twisted loop algebras
By Vyjayanthi Chari, Ghislain Fourier, Prasad Senesi. 2007
54 citations recorded by the source corpus.
The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here to the twisted affine algebras. We describe an identification of the Weyl modules for the twisted affine algebras with suitably chosen Weyl modules for the untwisted affine algebras. This identification allows us to use known results in the untwisted case to compute the dimensions and characters of the Weyl modules for the twisted algebras.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f51557881c16ff8b5a8aad70febe7a6830d24648
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In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Representations of Multiloop Algebras (2008, methodology): “For any diagram automorphism σ1, the finite-dimensional simple modules for the twisted (single) loop algebra L(g; σ1) were classified in [Chari et al. 2008].”