Homotopy theory of complete Lie algebras and Lie models of simplicial sets55P62 (primary)17B5555U10 (secondary)In a previous work, by extending the classical Quillen construction to the non-simply connected case, we have built a pair of adjoint functors, model and realization,between the ...
Algebraic K-Theory and Equivariant Homotopy Theory:代数K-理论和等变同伦理论 热度: Lie groups and Lie algebras:李群与李代数的上同调 热度: Actions of Lie groups and Lie algebras on manifolds(李群和李代数在流形上的作用) 热度: 相关推荐 ON THE HOMOTOPY LIE ALGEBRA OF AN ARRANGEMENT GRAHAM...
We classify strongly homotopy Lie algebras—also called L ∞ algebras—of one even and two odd dimensions, which are related to 2 | 1-dimensional Z 2-graded Lie algebras. What makes this case interesting is that there are many nonequivalent L ∞ examples, in addition to the Z 2-graded ...
在线看Lie Algebras and Homotopy Theory - Jacob Lurie 1小时 59秒。23 12月 2019的高清视频,VK免费视频库免注册! 166 — 已浏览。 52 — 已评价。
In that sense, the model structures H p/i do not yet define smooth versions of the homotopy theory of spaces. To achieve that, one needs a weaker notion of equivalence in H. There exist (at least) two candidates for such weakened versions of equivalences in H. First, in [25, 38] a...
s construction of a homotopy Lie algebra associated with the holomorphic tangent bundle of a complex manifold, we prove that the space of vector fields on a dg manifold admits analgebra structure, unique up to isomorphism, whose unary bracket is the Lie derivative with respect to the homological...
Poinkales topology and Hilberts algebraic geometry, like Plancks quantum theory and Einsteins theory of relativity, revolutionized the basic idea of the whole subject. This post tried to introduce the two concepts introduced by poinkale: homology group and basic group. They are algebraic ...
series of homotopy lie algebras and poincar e algebras with monomial relationsAvramov, Luchezar L
As an application of the theory developed within this paper, algebraic deformation theory is extended to functors on pseudo-compact, not necessarily local, commutative differential graded algebras.doi:10.4310/HHA.2017.v19.n1.a16James MaunderMathematics...
Homotopy Theory of Probability Spaces I: Classical independence and homotopy Lie algebrasMathematics - ProbabilityJae-Suk ParkarXivJ. S. Park. Homotopy probability theory: Classical independence and homotopy Lie algebras, pre-print (2015).