“torus”的概念、定义、习题解题方法及翻译-数学辞典

单词

torus

释义

torus

(higher dimensions) As a surface, the torus is topologically S1×S1, where S1 denotes the circle. The n-dimensional torus is (S1)n, and such tori are important in the theory of Lie groups. A compact, connected abelian Lie group is a torus.

Also a compact, connected Lie group G will have a maximal torus T. Any two maximal tori are conjugate subgroups, and every element of G lies in some maximal torus.

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