quaternionic representation造句

例句与造句

1. It is real if no quaternionic representations occur in the decomposition.
2. A common example involves the quaternionic representation of rotations in three dimensions.
3. Quaternionic representations are similar to real representations in that they are isomorphic to their complex conjugate representation.
4. It is, algebraically speaking, the case when ? is a real representation or quaternionic representation.
5. Thus a real or pseudoreal representation is a direct sum of irreducible real representations and irreducible quaternionic representations.
6. It's difficult to find quaternionic representation in a sentence. 用quaternionic representation造句挺难的
7. The non-commutative nature of quaternionic multiplication would, in the quaternionic representation of matrices, be ambiguous.
8. By restricting this to the unit quaternions, we obtain a quaternionic representation of the spinor group Spin ( 3 ).
9. An example of a nonunitary quaternionic representation would be the two dimensional irreducible representation of Spin ( 5, 1 ).
10. Quaternionic representations of finite or compact groups are often called symplectic representations, and may be identified using the Frobenius-Schur indicator.
11. Quaternionic representations are analogous to holomorphic discrete series representations, which exist when the symmetric space of the group has a complex structure.
12. An example of a quaternionic representation would be the four-dimensional real irreducible representation of the quaternion group " Q " 8.
13. This always holds if " V " is a representation of a compact group ( e . g . a finite group ) and in this case quaternionic representations are also known as symplectic representations.
14. Self-dual complex irreducible representation correspond to either real irreducible representation of the same dimension or real irreducible representations of twice the dimension called quaternionic representations ( but not both ) and non-self-dual complex irreducible representation correspond to a real irreducible representation of twice the dimension.
15. If "'G "'is a compact group ( for example, a finite group ), and "'F "'is the field of complex numbers, then by introducing a compatible unitary structure ( which exists by an averaging argument ), one can show that any complex symplectic representation is a quaternionic representation.