A Pieri Formula for the Characters of Complex Simple Lie Algebras

被引：0
作者：
J. F. van Diejen
机构：
[1] Universidad de Talca,Instituto de Matemáticas
来源：
Transformation Groups | 2024年 / 29卷
关键词：
Simple Lie algebras/groups; Irreducible representations; Character ring; Pieri rule; Symmetric functions; Primary: 17B10; Secondary: 05E05, 05E10, 17B20, 22E46, 33C52;
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摘要：
A Pieri formula is presented for the characters of complex simple Lie algebras of arbitrary Dynkin type, providing the decomposition of the tensor product of a general irreducible representation with one taken from a particular subclass of very small representations. The class of very small irreducible representations under consideration exceeds the minuscule and quasi-minuscule representations and includes in particular all fundamental representations in the case of a classical Lie algebra.
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页码：47 / 75
页数：28
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