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arXiv · 1212.0606

Rigidity of formal characters of Lie algebras (II)

Zhongguo Zhou
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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.

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Zhongguo Zhou. 2012-12-04. Rigidity of formal characters of Lie algebras (II). https://arxiv.org/abs/1212.0606

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