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advanced_tools:group_theory:representation_theory [2018/04/09 15:57] tesmitekle [Intuitive] |
advanced_tools:group_theory:representation_theory [2018/04/09 15:58] tesmitekle [Intuitive] |
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<tabbox Intuitive> | <tabbox Intuitive> | ||
- | //geometry asks, “Given a geometric object X, what is its group of | + | <blockquote>geometry asks, “Given a geometric object X, what is its group of |
symmetries?” Representation theory reverses the question to “Given a group G, what objects X | symmetries?” Representation theory reverses the question to “Given a group G, what objects X | ||
- | does it act on?” and attempts to answer this question by classifying such X up to isomorphism.//" [[https://math.berkeley.edu/~teleman/math/RepThry.pdf|Source]] | + | does it act on?” and attempts to answer this question by classifying such X up to isomorphism." [[https://math.berkeley.edu/~teleman/math/RepThry.pdf|Source]]</blockquote> |
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<tabbox Concrete> | <tabbox Concrete> |