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51.
构造了S^1上S^3|H-丛的所有复结构的模空间,其中丛的转换函数u:s^3/H→S^3/H是S^3/H的一个对合,HU(2),H为有限群且在S^3/H上的作用是自由的。真不连续的。 相似文献
52.
We introduce the notion of n-fold track extensions of a category C by a natural system D and prove that such extensions represent classes in the cohomology of C with coefficients in D introduced by Baues–Wirsching. This generalizes a result of Huebschmann on the cohomology of groups. 相似文献
53.
D. Arnal 《Journal of Geometry and Physics》1987,4(4):439-467
Let
be a finite dimensional real Lie algebra and
* its dual.
* is a Poisson manifold. Thus the space C∞(
*) of C∞ functions on
* has an associative and a Lie algebra structure. The problem of formal deformations of such a structure needs the determination of some cohomology groups of C∞(
*), considered as a module on itself for left multiplication or adjoint representation. We determine here these groups. The result is very similar to the case of C∞(W), where W is a symplectic manifold except for the Lie algebras hr ×
m, direct products of Heisenberg and abelian Lie algebras. 相似文献
54.
P. Seibt 《K-Theory》1990,4(2):143-155
Local (cyclic) homology of filtered associative algebras is defined and discussed. In the commutative case, it fits naturally in the setting of (formal) de Rham cohomology; we thus obtain a satisfactory complement to a result of Feigin and Tsygan. There is a spectral sequence from discrete (cyclic) homology of the associated graded algebra to local (cyclic) homology of the original filtered algebra; we exhibit manageable conditions on its convergence. 相似文献
55.
Cristian D. Popescu 《Mathematische Nachrichten》2009,282(10):1370-1390
56.
Fei Xu 《Advances in Mathematics》2008,219(6):1872-1893
Let C be a small category and k a field. There are two interesting mathematical subjects: the category algebra kC and the classifying space |C|=BC. We study the ring homomorphism HH∗(kC)→H∗(|C|,k) and prove it is split surjective, using the factorization category of Quillen [D. Quillen, Higher algebraic K-theory I, in: Lecture Notes in Math., vol. 341, Springer-Verlag, Berlin, 1973, pp. 85-147] and certain techniques from functor cohomology theory. This generalizes the well-known theorems for groups and posets. Based on this result, we construct a seven-dimensional category algebra whose Hochschild cohomology ring modulo nilpotents is not finitely generated, disproving a conjecture of Snashall and Solberg [N. Snashall, Ø. Solberg, Support varieties and Hochschild cohomology rings, Proc. London Math. Soc. 88 (3) (2004) 705-732]. 相似文献
57.
58.
Gerd Faltings 《Advances in Mathematics》2005,198(2):847-862
For curves over a p-adic field we construct an equivalence between the category of Higgs-bundles and that of “generalised representation” of the etale fundamental group. The definition of “generalised representations” uses p-adic Hodge theory and almost etale coverings, and it includes usual representations which form a full subcategory. The equivalence depends on the choice of an exponential function for the multiplicative group. 相似文献
59.
Naihong Hu Yufeng Pei Dong Liu 《Proceedings of the American Mathematical Society》2008,136(2):437-447
Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a cohomological characterization of Leibniz central extensions of Lie algebras is given. In particular, as applications, we obtain the cohomological version of Gao's main theorem for Kac-Moody algebras and answer a question in an earlier paper by Liu and Hu (2004).
60.
Both original and twisted Schr?dinger-Virasoro algebras, and also their deformations were introduced and investigated in a
series of papers by Henkel, Roger and Unterberger. In the present paper we aim at determining the 2-cocycles of original deformative
Schr?dinger-Virasoro algebras.
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10471091, 10671027), Foundation of
Shanghai Education Committee (Grant No. 06FZ029) and “One Hundred Talents Program” from University of Science and Technology
of China 相似文献