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