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representation theory

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representation theory [‚rep·ri‚zen′tā·shən ‚thē·ə·rē]
(mathematics)
The study of groups by the use of their representations.
The determination of representations of specific groups.
(quantum mechanics)
Quantum-mechanical device in which one selects the common eigenfunctions of a complete set of quantum-mechanical operators as a basis of vectors in a Hilbert space, and expresses wave functions and operators in terms of column matrices and square matrices, respectively, which correspond to this basis.


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