Corpus ID: 17195173

Representation Theory ∗ Its Rise and Its Role in Number Theory

  title={Representation Theory ∗ Its Rise and Its Role in Number Theory},
  author={R. Langlands},
By representation theory we understand the representation of a group by linear transformations of a vector space. Initially, the group is finite, as in the researches of Dedekind and Frobenius, two of the founders of the subject, or a compact Lie group, as in the theory of invariants and the researches of Hurwitz and Schur, and the vector space finite-dimensional, so that the group is being represented as a group of matrices. Under the combined influences of relativity theory and quantum… Expand
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