Mathematical Sciences: Branching Rules for Symmetric Groups and Hecke Algebras via Algebraic and Quantum Groups

小行星9600124 这项拨款支持A教授的研究。Kleschev工作的问题，在模块表示的有限群。特别是他想找到的多重性的一些组成因素的一个不可约代表的对称群的命令n。他还想研究分支规则Hecke代数通过理论的量子群和研究不可约表示的交替组和不可约Specht模块。 这是群论领域的研究。群论可以被认为是对抽象对称性的研究。因此，这一领域直接应用于物理和化学的许多领域。此外，在过去的30年里，许多与数据传输问题有关的问题已经用群论的技术解决了。也有直接连接到纠错码是至关重要的现代计算，如与光盘的工作。

9600124 Kleshchev This grant supports the research of Professor A. Kleschev to work on problems in the modular representation of the finite groups. In particular he wants to find the mutiplicities of some composition factors of an irreducible representation of the symmetric group of order n. He also want to study branching rules for Hecke algebras via the theory of quantum groups and the study of irreducible representations of the alternating group and irreducible Specht modules. This is research in the field of group theory. Group theory can be thought of as the study of symmetry in the abstract. As such, this area has direct applications to many areas of physics and chemistry. Moreover, within the last 30 years, many connections to problems in data transmission have been solved using techniques from group theory. There are also direct connections to the error correcting codes that are vital for modern computing such as working with CD-ROM's.