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arXiv 1406.0352math.COmath.RT
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李代数的组合表示论。理查德·斯坦利的工作和它的延续方式

Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continued

Cristian Lenart

摘要:

理查德斯坦利发挥了至关重要的作用,通过他的工作和他的学生,在发展相对较新的领域被称为组合表示论。在早期阶段,他的优点是指出了组合的潜力,表示论的应用组合方法。在他杰出的职业生涯中,他写了重要的文章,其中涉及各种组合方面的表示论(李代数,对称群等)。我描述了一些理查德的贡献涉及李代数,以及最近的事态发展的启发,他们(包括一些开放的问题),这证明了持久的影响,他的工作。

英文摘要:

Richard Stanley played a crucial role, through his work and his students, in the development of the relatively new area known as combinatorial representation theory. In the early stages, he has the merit to have pointed out to combinatorialists the potential that representation theory has for applications of combinatorial methods. Throughout his distinguished career, he wrote significant articles which touch upon various combinatorial aspects related to representation theory (of Lie algebras, the symmetric group, etc.). I describe some of Richard's contributions involving Lie algebras, as well as recent developments inspired by them (including some open problems), which attest the lasting impact of his work.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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