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Representation theory

branch of mathematics that studies representations of abstract algebraic structures as linear transformations on vector spaces

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.

Quotes

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  • Arithmetic automorphic representation theory is one of the most active areas in current mathematical research, centering around what is known as the Langlands program.
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