Rigidity of formal characters of Lie algebras (II)

Abstract

For a complex simple Lie algebra of type A_l,B_l,C_l or D_l, given a family of elements f_λ in commutative ring Z[Λ], we show that f_λ is just the formal character of the Weyl module V(λ) if f_λ 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.

arXiv comment8 pages

References in corpus (1)

• Rigidity of formal character of Lie algebras of type A