# Representation theory

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**Representation theory** is a branch of mathematics that studies abstract algebraic structures by *representing* their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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## Quotes[edit]

- Arithmetic automorphic representation theory is one of the most active areas in current mathematical research, centering around what is known as the Langlands program.
- Eduardo Cattani; Fouad El Zein; Phillip A. Griffiths; Lê Dũng Tráng (21 July 2014).
*Hodge Theory (MN-49)*. Princeton University Press. p. 17. ISBN 978-1-4008-5147-8.

- Eduardo Cattani; Fouad El Zein; Phillip A. Griffiths; Lê Dũng Tráng (21 July 2014).