例句與造句

1. In particular, spin representations often admit embed the spin groups into classical Lie groups.
2. Discrete subgroups of classical Lie groups ( for example thin groups ) are also examples of interesting linear groups.
3. The simple Lie groups form a number of series ( classical Lie groups ) labelled A, B, C and D . In addition there are the exceptional groups E 8.
4. Of these, the "'complex classical Lie groups "'are four infinite families of Lie groups that together with the exceptional groups exhaust the classification of simple Lie groups.
5. Often one will see the notation without reference to a ring or field; in this case, the ring or field being referred to is and this gives one of the classical Lie groups.
6. It's difficult to find classical lie groups in a sentence. 用classical lie groups造句挺難的
7. Simple Lie groups include many classical Lie groups, which provide a group-theoretic underpinning for spherical geometry, projective geometry and related geometries in the sense of Felix Klein's Erlangen programme.
8. In the 1970s he showed that the new supersymmetries could provide a mechanism ( O'Raifeartaigh's mechanism ) for circumventing his no-go theorem which had assumed only classical Lie group symmetries.
9. Contrasting with the classical Lie groups are the exceptional Lie groups, G 2, F 4, E 6, E 7, E 8, which share their abstract properties, but not their familiarity.
10. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a ` bicrossproduct'class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.
11. The Freudenthal magic square includes all of the exceptional Lie groups apart from " G " 2, and it provides one possible approach to justify the assertion that " the exceptional Lie groups all exist because of the octonions " : " G " 2 itself is the automorphism group of the octonions ( also, it is in many ways like a classical Lie group because it is the stabilizer of a generic 3-form on a 7-dimensional vector space & ndash; see prehomogeneous vector space ).