例句與造句

1. This is the same as the C n root lattice.
2. One can show that with respect to this inner product is a reduced crystallographic root lattice.
3. In particular, one obtains a construction of all ADE type Lie groups directly from their root lattices.
4. The minuscule representations are indexed by the weight lattice modulo the root lattice, or equivalently by irreducible representations of the center of the simply connected compact group.
5. The C n root lattice-that is, the lattice generated by the C n roots-consists of all integer vectors whose components sum to an even integer.
6. It's difficult to find root lattice in a sentence. 用root lattice造句挺難的
7. The D n root lattice-that is, the lattice generated by the D n roots-consists of all integer vectors whose components sum to an even integer.
8. Lattices called root lattices are important in the theory of simple Lie algebras; for example, the E8 lattice is related to a Lie algebra that goes by the same name.
9. where the set of generators has been extended, if required, to include " k " ? for ? which is expressible as the sum of an element of the weight lattice and half an element of the root lattice.
10. In mathematics, "'E 8 "'is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has G 2.
11. The A n root lattice-that is, the lattice generated by the A n roots-is most easily described as the set of integer vectors in "'R " "'n " + 1 whose components sum to zero.
12. The underlined terms in the sequence above are the dimensions of those irreducible representations possessed by the adjoint form of E 6 ( equivalently, those whose weights belong to the root lattice of E 6 ), whereas the full sequence gives the dimensions of the irreducible representations of the simply connected form of E 6.
13. The underlined terms in the sequence above are the dimensions of those irreducible representations possessed by the adjoint form of E 7 ( equivalently, those whose weights belong to the root lattice of E 7 ), whereas the full sequence gives the dimensions of the irreducible representations of the simply connected form of E 7.
14. The index ( the " n " ) equals to the number of nodes in the diagram, the number of simple roots in a basis, the dimension of the root lattice and span of the root system, the number of generators of the Coxeter group, and the rank of the Lie algebra.
15. In mathematics, "'E 6 "'is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras \ mathfrak { e } _ 6, all of which have dimension 78; the same notation E 6 is used for the corresponding root lattice, which has G 2.
16. In mathematics, "'E 7 "'is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras "'e "'7, all of which have dimension 133; the same notation E 7 is used for the corresponding root lattice, which has G 2.
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