At this point it must now be clear that there are needed some homology calculations of the isometry groups for the 3 geometries and related Lie groups considered as discrete groups. This subject was first considered in connection with the theory of characteristic classes for foliations (see e.g...
A. Haefliger,The homology of nilpotent Lie groups made discrete, Preprint, Univ. Geneva 1982. B. Harris,Group cohomology classes with differential form coefficients, pp. 278–289 of “AlgebraicK-Theory, Evanston 1976”, ed. M. Stein, Lecture Notes in Math. 551, Springer 1975. H. Hopf and...
homotopy Lie algebrasA description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a homology group of a certain dg Lie algebra canonically (up to an essentially unique quasi-isomorphism) associated with...
Let G be a simple, connected, simply-connected nonabelian Lie group such that its Lie algebra is absolutely simple and not among 10 exceptional ones of type E and F (3 compact, 7 noncompact, and all are not -split). Let ρ : G→SL(n,) denote any nontrivial Lie group homomorphism....
Medical Encyclopedia Wikipedia Graphic Thesaurus🔍 DisplayON AnimationON Legend Synonym Antonym Related </>embed</> similarity homology noun Words related to homology nounthe quality of being similar or corresponding in position or value or structure or function ...
1.Hochschild cohomology groups of Gelfand-Ponamarev algebraGelfand-Ponamarev代数的Hochschild上同调群 2.Research on the Estimation of Rank of Homology Group of Energy Level Surface on Hamiltonian Systems;Hamilton系统等能曲面之同调群的秩估计 3.Second Cohomology of the Modular Lie Superalgebras of Cartan...
We prove that Leibniz homology of Lie algebras can be described as functor homology in the category of linear functors from a category associated with the Lie operad. Introduction In the 90s, Robinson and Whitehouse defined and studied in [18] Γ-homology of commutative algebras, a homology the...
同伦群与同调群(Homotopy group and homology group).doc,同伦群与同调群(Homotopy group and homology group) Pang, who is the greatest mathematicians in the late 19th century early 20th century France, he and Germany led by Hilbert maths at that time, inh
2) homology theory of manifold 流形的下同调论3) homology group of chain complex 链复形的下同调群4) n-dimensional homology manifold n维下同调流形5) homology group of compact Lie group 紧李群的下同调群6) homology group of a polyhedron 多面体的下同调群...
英文: By using two kinds of affine representations of Lie color algebras and the first cohomology group, we obtain some necessary or sufficient conditions to the problem whether there is any left color sysmmetric structure on a given Lie color algebra which gen 中文: 利用着色李超代数的两种仿射...