Which in turn means that about 100 years after William Burnside dismissed representation theory as useless, it was a critical component in arguably the most celebrated proof of the 20th century. “I ...

In parallel, representation theory focuses on realising abstract algebraic entities as linear transformations on vector spaces, offering concrete insights into their structure and symmetry.

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces. Cherednik algebras, which ...

Masaki Kashiwara has won the 2025 Abel prize, seen by some as the Nobel of mathematics, for his contributions to algebraic analysis and representation theory ...

“Broadly speaking, representation theory is the study of symmetries in mathematics,” says Chris Elliott, a mathematician at the University of Massachusetts Amherst.

Representation theory's hidden motives. Conference at Münster and Sydney 27 September - 1 October 2021. In recent years, motivic techniques have been applied in several branches of representation ...

This led him to examine Brauer’s modular representation theory from a different perspective, that of modules (which in a different context had appeared in his thesis) ...