例句與造句

1. This basis should be easily recognized as the basis of a symmetric algebra.
2. For example, choosing a basis, a symmetric algebra satisfies the universal property and so is a polynomial ring.
3. These include the exterior algebra, the symmetric algebra, Clifford algebras, the Weyl algebra and universal enveloping algebras.
4. Examples of this are the exterior algebra, the symmetric algebra, Clifford algebras, the Weyl algebra and universal enveloping algebras.
5. The choice of basis means this definition is not intrinsic, but it can be made so by using the symmetric algebra.
6. It's difficult to find symmetric algebra in a sentence. 用symmetric algebra造句挺難的
7. Quantum group ) of the exterior algebra, in the same way that the Weyl algebra is a quantization of the symmetric algebra.
8. But there is also a functor taking vector spaces to the category of exterior algebras, and a functor taking vector spaces to symmetric algebras.
9. The construction of the symmetric algebra as a quotient of the tensor algebra is, as functors, a composition of the free algebra functor with this reflection.
10. Here \ hat { S } is the completed symmetric algebra, \ Sigma is the suspension of a graded vector space, and V ^ * denotes the linear dual.
11. Similarly, the graded-symmetric algebra of the graded module with " V " in degree one and zero elsewhere is the exterior algebra of " V ".
12. Recall how the symmetric algebra is constructed : the process is exactly the same as described up top, except that one uses a different ideal, the ideal that makes all elements commute:
13. Formally, the symmetric algebra of " V " is the group algebra of the dual,, and the Weyl algebra is the group algebra of the ( dual ) Heisenberg group.
14. If " A " is a unital associative algebra over the field " k " with finite symmetric algebras, the duality is particularly well-behaved and projective modules and injective modules coincide.
15. Duflo has worked on the orbit method of Alexander Kirillov . He introduced the Duflo isomorphism, an isomorphism between the center of the enveloping algebra of a finite-dimensional Lie algebra and the invariants of its symmetric algebra.
16. The sheaf of symmetric algebras \ mathbf { Sym } _ { O _ X } ( \ mathcal E ) is naturally a quasi-coherent sheaf of graded O _ X-modules, generated by elements of degree 1.
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