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  "body": "\n## Summary\n\nIn group theory, an **isotypical**, **primary** or **factor representation** of a group G is a unitary representation $\\pi : G \\longrightarrow \\mathcal{B}(\\mathcal{H})$ such that any two subrepresentations have equivalent sub-subrepresentations. This is related to the notion of a primary or factor representation of a C\\*-algebra, or to the factor for a von Neumann algebra: the representation $\\pi$ of G is isotypical iff $\\pi(G)^{''}$ is a factor.\n",
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