| 释义 |
Weyl, n. Math.|vaɪl|
The name of Hermann Weyl (1885–1955), German mathematician, used attrib. to designate various concepts introduced by him, as Weyl group [tr. F. groupe de Weyl (C. Chevalley 1955, in Tohoku Math. Jrnl. VII. 21)], a quotient group, important in the study of simple groups, constructed from two subgroups satisfying certain conditions, including that each generates the parent group and that their intersection is normal in one of them; Weyl tensor [prob. tr. G. Weyltensor], in general relativity, a tensor denoting that component of the curvature of space-time which is not determined locally by matter.
1961Amer. Jrnl. Math. LXXXIII. 439 The Weyl group W of σ is of order 12. 1962Jrnl. Math. Physics III. 569/1 The spinors ψabcd , ϕabc′d′ , and λ correspond, respectively, to the Weyl tensor, trace-free part of the Ricci tensor, and scalar curvature. 1971Powell & Higman Finite Simple Groups iii. 136 The different copies of SL2 (k) ..are permuted by the Weyl group of a root system attached to the semi-simple Lie algebra 𝔤. 1979Nature 23 Aug. 704/1 The Weyl tensor is a rough measure of gravitational clumping. |