|
|
|
 |
|
|
|
|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
As an application we produce complete hyperbolic 5-manifolds that are nontrivial plane bundles over closed hyperbolic 3-manifolds and conformally flat 4-manifolds that are nontrivial circle bundles over closed hyperbolic 3-manifolds.
|
| 例句来源 | |
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
|
| 例句来源 | |
The proof is an application of a recent result by W.
|
| 例句来源 | |
The application arises because of a very strong homological property enjoyed by certain cell filtrations forq-permutation modules.
|
| 例句来源 | |
We give as an application a family of singular Schubert varieties.
|
| 例句来源 | | 更多 |
|
We then classify the reflections in the groupsW and the minimal number of them needed to generateW, using the diagrams.
|
| 例句来源 | |
Using these monomial bases we prove that the image of the transfer for a general linear group over a finite field is a principal ideal in the ring of invariants.
|
| 例句来源 | |
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
|
| 例句来源 | |
Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
|
| 例句来源 | |
Using the properties ofn-Hopf algebras we show that certain spaces do not admit the structure of ann-valued group and that certain commutativen-valued groups do not arise by applying then-coset construction to any commutative group.
|
| 例句来源 | | 更多 |
|
We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra.
|
| 例句来源 | |
For the case of positive characteristic we use the classification of finite irreducible groups generated by pseudoreflections due to Kantor, Wagner, Zalesski? and Sere?kin.
|
| 例句来源 | |
In the interesting case when the group is of Coxeter typeDn (n≥4) we use higher polarization operators introduced by Wallach.
|
| 例句来源 | |
We also use known results about canonical bases forUq2 to get a new proof of recurrent formulas for KL polynomials for maximal parabolic subgroups (geometrically, this case corresponds to Grassmannians), due to Lascoux-Schützenberger and Zelevinsky.
|
| 例句来源 | |
We use invariant theory to compute the exact number of nonzero idempotents of an arbitrary 2-dimensional real division algebra.
|
| 例句来源 | | 更多 |
|
We do this by using an explicit set of coordinates on the Schubert cell.
|
| 例句来源 | |
By using some topological arguments we prove thatF is always surjective.
|
| 例句来源 | |
This problem does not arise if f is continuous, and can be removed by using the standard summability methods.
|
| 例句来源 | |
We obtain these last estimates (more precisely, Hp/2-estimates for h(f) by using a slight extension of the Coifman-Meyer-Stein theorem relating the so-called tent-spaces and the Hardy spaces.
|
| 例句来源 | |
The uniform and local asymptotic properties of BH are proved by using wavelet methods.
|
| 例句来源 | | 更多 |
| 其他 |
|
|

| | 点击这里查询相关文摘 |
|
相关查询: | |
对查询结果不满意
|
|
|
|