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 ...
内容提示: arXiv:2006.01218v1 [math.KT] 1 Jun 2020LIE–RINEHART AND HOCHSCHILD COHOMOLOGY FORALGEBRAS OF DIFFERENTIAL OPERATORSFRANCISCO KORDON AND THIERRY LAMBREAbstract. Let (S,L) be a Lie–Rinehart algebra such that L is S-projective and letU be its universal enveloping algebra. In this ...
09 Interactions between topology and algebra_ advances in algebraic K-theory 53:34 About Irreversibility in Rarefied Gas Dynamics 54:26 General Relativity, Differential Geometry and Differential Equations; Stories Fr 56:46 Indigenous Knowledge in STEM Education 1:09:27 Random walks and graphs in ...
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,...
Let M be a smooth manifold, S the space of polynomial on fibers functions on T*M (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space of the Lie algebra, Vect(M), of vector fields on M with coefficients in the space of linear differential operators on...
We give numerous examples of almost Lie algebroids arising as Dirac structures in pre-Courant algebroids, e.g. from twisted Poisson structures, as well as from twisted actions of a Lie algebra. We moreover define a cohomology for them, motivated by a Q-structure, that is trivial for (bundle...
摘要: In this paper, we compute the cohomology of the Heisenberg-Virasoro conformal algebra with coefficients in its modules, and in particular with trivial coefficients both for the basic and reduced complexes.关键词: Mathematics - Rings and Algebras ...
Cohomology of the Vector Fields Lie Algebra and Modules of Differential Operators on a Smooth Manifold Let M be a smooth manifold, S the space of polynomial on fibers functions on T*M (i.e., of symmetric contravariant tensor fields). We compute the first coh... PBA Lecomte,VY Ovsienko ...
In this paper we are concerned with Banach A∞-module M over admissible Banach A∞-algebra A. We give some properties of admissible modules and algebras. We study the cohomology of the complex C∞(A, M). We show that the vanishing of cohomology of this complex in certain dimensions implie...
Our first main result is as follows: we define a pair of current algebra functor which assigns Lie algebras (current algebras) and to a manifold M and a differential graded Lie algebra (DGLA) A. The functors and are contravariant with respect to M and covariant with respect to A. If A ...