affine Lie algebra

type of Kac–Moody algebras
Thing general Q632521
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affine Lie algebra

Summary

affine Lie algebra has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • affine Lie algebra is a type of Kac–Moody algebra[2].
  • affine Lie algebra's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/affine-lie-algebra[3].

Body

Definition and Type

affine Lie algebra is a type of Kac–Moody algebra[2].

Why It Matters

affine Lie algebra has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[1]

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APA 4ort.xyz Knowledge Graph. (2026). affine Lie algebra. Retrieved April 10, 2026, from https://4ort.xyz/entity/affine-lie-algebra
MLA “affine Lie algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/affine-lie-algebra.
BibTeX @misc{4ortxyz_affine-lie-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{affine Lie algebra}}, year = {2026}, url = {https://4ort.xyz/entity/affine-lie-algebra}, note = {Accessed: 2026-04-10}}
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Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 9d ago · Charp238 · 2026-07-11 view diff on Wikidata ↗
    Aliases
    Defining formula \begin{aligned}\hat{\mathfrak g}&=\mathfrak g\otimes \mathbb C[t,t^{-1}]\oplus\m
    Subclass of
    Subclass of Kac–Moody algebra
    "/* wbsetclaim-create:2||1 */ [[Property:P2534]]: \begin{aligned}\hat{\mathfrak g}&=\mathfrak g\otimes \mathbb C[t,t^{-1}]\oplus\mathbb Cc\\{}[a\otimes t^{n}+\alpha c,b\otimes t^m+\beta c]=[a,b]\otimes"
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