| 31. | The success of representation theory has led to numerous generalizations.
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| 32. | Linear actions of Lie groups are especially important, and are studied in representation theory.
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| 33. | A major aim of representation theory is to understand the irreducible representations of groups.
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| 34. | The most common applications use representation theory to construct spin networks from trace diagrams.
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| 35. | The representation theory has been studied since; see references in.
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| 36. | The extra information in representation theory of groups is provided by the spinor representations.
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| 37. | In representation theory, this corresponds to decomposing perturbations under the group of spatial rotations.
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| 38. | One follow up question would also be what the representation theory of looks like.
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| 39. | Representation theory therefore seeks to classify representations up to isomorphism.
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| 40. | The bulk of this article describes linear representation theory; see the last section for generalizations.
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