Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces. One area of interest within ...

Cluster algebras constitute a robust framework at the interface of algebra, combinatorics and geometry. Since their introduction, they have provided fertile ground for understanding total positivity, ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...