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        "quote": "- We will see that complex representations of a real Lie algebra called the [<u class=\"concept-term\" data-concept-reference=\"concepts/lie-theory/heisenberg-lie-algebra\" data-concept-identity=\"urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc\" data-concept-route=\"/concept-identities#concept-e992bab1-8a2d-4291-96da-ff7f86a8dcfc\" id=\"first-17b999e6f3200fa02e79-en\">Heisenberg Lie algebra</u>](../../../../../concepts/lie-theory/heisenberg-lie-algebra) play a central role in quantum theory and in quantum field theory. An important technique for constructing such representations (using so-called “annihilation” and “creation” operators) does so by extending the representation to the complexification of the Heisenberg Lie algebra (see [section 22.4](../chapter-22/04-quantization-by-annihilation-and-creation-operators#section-22-4)).",
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