緊緻李羣

喺數學入面，緊緻李羣（英文：Compact Lie group）係一種李羣，佢作為拓撲羣係一個緊緻羣，例子包括：

• 圓羣$\mathbb {T}$、環面羣$\mathbb {T} ^{n}$
• 正交羣$O(n)$、特殊正交羣$SO(n)$同埋佢嘅覆蓋羣旋量羣$\mathrm {Spin} (n)$
• 酉羣$U(n)$、特殊酉羣$SU(n)$
• 例外李羣G₂、F₄、E₆、E₇、E₈嘅緊緻版本

參考資料

書目

• Bröcker, Theodor; tom Dieck, Tammo (1985), Representations of Compact Lie Groups, Graduate Texts in Mathematics,第98卷, Springer
• Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations An Elementary Introduction, Graduate Texts in Mathematics,第222卷 (第2版), Springer, ISBN 978-3319134666
• Hofmann, Karl H.; Morris, Sidney A. (1998), The structure of compact groups, Berlin: de Gruyter, ISBN 3-11-015268-1