| 41. | Invariant subspaces have importance besides finite-dimensional group representation theory.
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| 42. | Such functions play a basic role in representation theory.
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| 43. | He also made fundamental contributions to the representation theory of the symmetric and alternating groups.
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| 44. | For instance, in 1929 Emmy Noether wrote on " hypercomplex quantities and representation theory ".
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| 45. | See also Partition ( number theory ) and Representation theory of the symmetric group .)
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| 46. | Many of the results of finite group representation theory are proved by averaging over the group.
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| 47. | Representation theory also depends heavily on the type of vector space on which the group acts.
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| 48. | With Lord he later theorized attitude representation theory.
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| 49. | Polyhedral cones play a central role in the representation theory of bounded polyhedron is a polytope.
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| 50. | The projective representation theory of the simple groups.
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