arXiv:1212.0606 [math.RT]AbstractReferencesReviewsResources
Rigidity of formal characters of Lie algebras (II)
Published 2012-12-04Version 1
For a complex simple Lie algebra of type A_l,B_l,C_l or D_l, given a family of elements f_\lambda\ in commutative ring Z[\Lambda], we show that f_\lambda\ is just the formal character of the Weyl module V(\lambda) if f_\lambda\ satisfy several natural conditions. Hence we give a necessary and sufficient condition for constructing a family of g_l-modules from a family of g_{l-1}-modules.
Comments: 8 pages
Categories: math.RT
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