The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as ...

This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through ...

By operating at the intersection of symmetry, abstract algebra, and geometry, big algebras use more tangible geometric ...

The mathematics for this in the case of topologically fault tolerant `surface codes’ is closely related on the one hand to quantum groups, Hopf algebras, braided categories[1] and quantum geometry[2] ...

Chongying Dong, distinguished professor of mathematics at UC Santa Cruz, is among 41 mathematical scientists around the world who were recently named to the American Mathematical Society’s class of ...

His research focuses on ergodic theory and operator algebras. Before coming to Münster, he worked at Texas A&M University for 15 years. Before that he held one-year postdocs in Rome (2002-2003), Tokyo ...