Weyl modules for the twisted loop algebras

Details Weyl modules for the twisted loop algebras Weyl modules for the twisted loop algebras

2007-04-28

arxiv.org/abs/0704.3819v2

Mathematics

Representation Theory

19 pages, acknowledgment of NSF support added on page 1

Scientific paper

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.

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