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- The first of these is the development of an axiomatic treatment of sheaf theory by Grothendieck for the purpose of to define sheaf cohomology. 但是，數學(xué)的邏輯推導之前，總需要有一些基本的定義與公理。
- These two theorems will be derived later from results on nonabelian cohomology. 這兩個(gè)定理將在后面由非交換上同調的結果推出。
- The author proved that there is an abelian group homomorphism between the Grothendieck groups of ?R? and ?A?. 作者證明了在R的Grothendieck群和A的Grothendieck群之間存在一個(gè)阿貝爾群同態(tài).
- Later Chen and Hu[CH] give adeRham model to compute the Chen-Ruan cohomology ring of abelian orbifold. 最近;B.;Chen 和S
- Many properties of twisted conjugate actions can be expressed by the language of nonabelian cohomology, and vise versa. 扭共軛作用的很多性質(zhì)可以用非交換上同調的語(yǔ)言來(lái)表述，反之亦然。
- For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. 蔡皋把想象的虛無(wú)縹緲的烏托邦具象化。讓人感覺(jué)到一個(gè)實(shí)實(shí)在在的桃花源。
- But twisted conjugate actions of Lie groups have closed relation with nonabelian cohomology of cyclic groups with coefficients in Lie groups. 而李群的扭共軛作用與循環(huán)群以李群為系數的非交換上同調有非常密切的關(guān)系。
- Chen and Ruan[CR1] defined a very interesting cohomology theory for orb-ifold, which is now called Chen-Ruan cohomology. Chen 和Y.;Ruan[CR1] 對orbifold 定義了一種非常有意義的上同調理論;現在稱(chēng)為Chen-Ruan 上同調
- Further, we've generalized the famous Liouville's theorem in classical mechanics and linked the Noether theorem with the cohomology. 提出相空間上保體積的一般方程，通常的正則方程是其特殊形式；
- In some finiteness conditions, we prove that there exists a natural Abelian group homomorphism from the Grothendieck group of R to the Grothendieck group of A. 在適當的有限性條件下，我們證明了一個(gè)從R的Grothendieck群到A的Orothendieck群的自然的阿貝爾群同態(tài)。
- For a general twisted conjugate action, the orbit space can be expressed as the nonabelian cohomology of the infinite cyclic group. 對于一般的扭共軛作用，其軌道空間可以表示為無(wú)限循環(huán)群的非交換上同調。
- If moreover the automorphism involved is of finite order, some special orbits are related to the nonabelian cohomology of a finite cyclic group. 當扭共軛作用中的自同構為有限階時(shí)，某些特殊的軌道對應于有限循環(huán)群的非交換上同調。
- Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. 再比如漁人從桃花源出來(lái)的時(shí)候，桃花源的人送給他一包禮物里面有種子和一只撥浪鼓。
- Moreover, some results on nonabelian cohomology of finite cyclic groups with coefficients in Lie groups can be also generalized to the case of finite non-cyclic groups. 而有限循環(huán)群李群系數非交換上同調的一些結果，還可以推廣到有限非循環(huán)群的情況。
- We study the properties of filter-regular sequences, and obtain the equivalence characterizations on balanced big filter-modules in terms of cousin complex and local cohomology theory. 通過(guò)對 filter-正則元及 filter-正則序列的研究 ;利用 Cousin復形 ;局部上同調等一些用于研究banlanced big Cohen-Macaulay模的工具及思想方法 ;給出了關(guān)于 balanced big filter-模的一些等價(jià)刻劃 .
- In the paper, we consider 2-cocycles on an infinite-dimensional Lie algebra L. We obtain all of the 2-cocycles on this Lie algebra and further determine its second cohomology group. 摘要考慮了一類(lèi)無(wú)限維李代數L的二上圈。通過(guò)計算，得到了此類(lèi)李代數的所有的二上圈，從而確定了L的二上同調群。
- It is expected that those algebraic methods also apply to questions on nonabelian cohomology with coefficients in Lie groups, and then we can get information of twisted conjugate actions. 可以預期，這些代數方法也可以用來(lái)研究李群系數的非交換上同調的性質(zhì)，從而得到李群扭共軛作用的性質(zhì)。
- The Algebra of Secondary Cohomology Operations 二階上同調運算代數
- Cohomology Elements of Character Triples 特征標三元組的上同調元素
- cup product of the cohomology group 上同調群的的上積
