Mathematical Sciences: Irreducible Characters of Infinite Dimensional Lie Algebras

李理论中的一个基本问题是确定李代数的不可约最高权表示的权重重数。重数的母函数称为表示的特征。这个项目将考虑某些无限维李代数和超代数的不可约最高权表示的特征。具体地说，主要研究人员将考察仿射李代数、Virasoro代数、neveu-Schwarz代数和Ramond代数的这些特征。

One of the fundamental problems in Lie theory is the determination of the weight multiplicities of the irreducible highest weight representations of a Lie algebra. The generating function of the multiplicities is called the character of the representation. This project will consider characters of the irreducible highest weight representations of certain infinite dimensional Lie algebras and superalgebras. Specifically, the principal investigator will examine these characters for affine Lie algebras, Virasoro algebras, the Neveu-Schwarz algebras and the Ramond algebras.