PushoutGroup schemesQuasi-finite morphismsHopf algebrasLet G, G1 and G2 be quasi-finite and flat group schemes over a complete discrete valuation ring R, φ1:G→G1 any morphism of R-group schemes and φ2:G→G2 a model map. We construct the pushout P of G1 and G2 over G in ...
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We show that every continuous homogeneous quasimorphism on a finite-dimensional 1-connected simple Lie group arises as the relative growth of any continuous bi-invariant partial order on that group. More generally we show, that an arbitrary homogeneous quasimorphism can be reconstructed as the ...
Abelian groups, as well as finite groups and solvable groups are amenable. We now determine the homogenization of the quasi-morphisms gσ ∈ QM(F ) defined in the previous section. Lemma 3.5. Let x, y ∈ F . 7 (i) If x is a power then gσh(x) = 0, otherwise gσh(x) = ...
Once again, we state the result for the corresponding median classes in equivariant bounded cohomology; the definitions of the quasimorphisms f_s and of non-transversality are given in Sect. 3.3. Theorem 1.6 (Theorems 3.23 and 3.25) Let \Gamma be a group acting on a finite-dimensional {{\...
for all. We will denote the tensor components ofby capital letters, and the ones ofby lower case letters, namely His called a quasi-Hopf algebra if, moreover, there exists an anti-morphismSof the algebraHand elementssuch that, for all, we have:...
As a consequence, assuming certain conditions on π1(M), we construct bi-Lipschitz embeddings of finite dimensional vector spaces into Diff0(M, μ). 关键词: Diffeomorphisms groups braid groups right-invariant metrics quasi-morphisms bi-Lipschitz embeddings DOI: 10.1142/S1793525312500136 被引量:...
(1) There is an absolute constant $D$ such that for any finite quasisimple group $S$, given 2D arbitrary automorphisms of $S$, every ... NIKOLAY NIKOLOV,DAN SEGAL - 《Annals of Mathematics》 被引量: 251发表: 2007年 Remarks on infinite dimensional duality We present an improvement of a...
1. ϕ is a monomorphism. In this case ϕ may be treated as an inclusion M⊆N. Write N as the filtered colimit of its quasi-coherent submodules {Ni} of finite type [10, 6.9.9], and consider the pairings ψi:OX⊗Ni→N. Fixing an i, note that I=(M:M+Ni)ψi⊆OX eq...
nef value morphismample line bundleprojective varietyWe determine the structure of finitely generated groups which are quasi-isometric to symmetric spaces of noncompact type, allowing Euclidean de Rham factors If $X$ is a symmetric space of noncompact type with no Euclidean de Rham factor, and $...