2010/12/24 by Ghislain Fourier, Fourier, Ghislain, Tanusree Khandai +3
Mathematics · #17B10 #17B65 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:17B10 #msc:17B65
paper · pdf · doi:10.48550/arxiv.1012.5378
This paper was been rewritten (with an additional author) in the more general setting of equivariant map algebras and posted as arXiv:1103.5766
openalex publication_date 2010/12/24 · arxiv created 2011/03/31 · arxiv updated 2011/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Global and local Weyl modules for the untwisted multiloop Lie algebras were defined by Chari, the first and the second author via homological properties. In this paper we extended the ideas to give a categorical definition of the Weyl modules for twisted multiloop algebras. Our methods led us to describe an identification of the finite--dimensional highest weight modules for twisted multiloop algebras with suitably chosen finite--dimensional highest weight modules for untwisted multiloop algebras.