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

Quotes

  • 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. 
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