From this result we deduce that the deformation cohomology of the de Rham algebra of a Lie group coincides with cohomology of its classifying space. We introduce the notion of a Poisson-de Rham Lie group — this is just a usual Poisson Lie group with a graded Poisson bracket on its de ...
Let \\({\\mathrm{Vect}}({\\mathbb{R}})\\) be the Lie algebra of smooth vector fields on \\({\\mathbb{R}}\\) and \\({\\mathcal{D}}_{au ,\\lambda ,\\mu ;u }\\) be the space of trilinear differential operators acting on weighted densities. The main topic of this paper...
Tangent cohomology of a commutative algebra is known to have the structure of a graded Lie algebra; we account for this by exhibiting a differential graded Lie algebra (in fact, two of them) equivalent as cochain complex to Harrison's yielding the tangent cohomology. This d.g. Lie algebra,...
定价:USD 39.99 装帧:Paperback ISBN:9780521589567 豆瓣评分 8.1 35人评价 5星 40.0% 4星 34.3% 3星 20.0% 2星 5.7% 1星 0.0% 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition...
dIfferential forms Def: we define the k-differential forms to be the exterior algebra of cotangent bundles (k-times) on a C∞ -manifold M . All k-dIfferential forms on M was denote by Ωk(M) .All dIfferential forms on M was denote by Ω∗(M), which is the graded algebra ⊕k∈...
Pure and Applied Mathematics. M. Dekker, New Yrok (1978) MATH Google Scholar Vasiliev, M.A.: Triangle identity and free differential algebra of massless higher spins. Nucl. Phys. B 324, 503–522 (1989) Article ADS MathSciNet Google Scholar Download references...
部分符号、定义、性质见前两篇文章: 譞譞:de Rham Cohomology(1)-the Alternating Algebra譞譞:de Rham Cohomology(2)-differential forms Definition 1 de Rham上同调群:p-th de Rham cohomology group定义为…
We can obtain another functor considering the ring Ωc(M) of forms with compact support. For each ω∈Ωck(M), we have dω∈Ωck+1(M), hence (Ωc(M), d) is a subcomplex in the de Rham complex (in fact, (Ωc(M), d) is a differential ideal in the differential algebra (Ω...
The origins of cohomology theory are found in topology and algebra at the beginning of the last century but since then it has become a tool of nearly every branch of mathematics. It’s a way of life! Naturally, this article can only give a glimpse at the rich subject. We take here the...
Twitter Google Share on Facebook cohomology Encyclopedia Wikipedia (ˌkəʊhəˈmɒlədʒɪ) n the abstract study of algebraic topology Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007,...