Mathematical Sciences: Quantum Groups and Related Topics

这项研究是关于量子理论的 组 拟三角形Hopf代数理论， 特别是计算3的某些不变量， 由有限维Hopf代数导出的流形 和共形场论，提供了重点， 项目 量子群是一个新的研究领域， 数学家和物理学家 在数学方面 它结合了“纯”数学的三个最古老的领域， 代数，分析和几何，但它是极大的兴趣， 研究共形量子场论的物理学家。

This research is concerned with the theory of quantum groups. The theory of quasitriangualar Hopf Algebras, particularly calculations of certain invariants of 3- manifolds derived from finite dimensional Hopf algebras and conformal field theory, provides the focus for the project. Quantum groups are a new area of research for both mathematicians and physicists. On the mathematical side it combines three of the oldest areas of "pure" mathematics, algebra, analysis and geometry, yet it is of great interest to physicists working in conformal quantum field theory.