Đề tài " Isometric actions of simple Lie groups on pseudoRiemannian manifolds " potx

... ergodic. Annals of Mathematics Isometric actions of simple Lie groups on pseudoRiemannian manifolds By Raul Quiroga-Barranco* ISOMETRIC ACTIONS OF SIMPLE LIE GROUPS 959 Finally, ... in *Research supported by SNI-M´exico and CONACYT Grant 44620. ISOMETRIC ACTIONS OF SIMPLE LIE GROUPS 969 [Sz] J. Szaro , Isotropy of semisimple group ac...

Ngày tải lên: 22/03/2014, 20:20

... IRREDUCIBLE REPRESENTATIONS 701 Proof. The proof proceeds by induction on the cardinality of S. Consider equation (18) as an equation with respect to one of the simple Lie algebras, say g 1 . The linear ... induction on the rank of g, by the fact that any simple Lie algebra of rank l, has a simple subalgebra of rank l − 1. We analyze the restriction of the numerator...

Ngày tải lên: 14/03/2014, 22:20

... h 2" alt =""

Ngày tải lên: 31/03/2014, 16:18

... deformation quantization of the Poisson structure on N induced from ω. By examining the proof in [Sch] (or in [Sch1] and [Sch2]) of this theorem, one observes that for continuous families of functions, ... clear that the action of Γ leaves the isomorphism class of (L, ∇) invariant, thus alone from this one can conclude that a central extension of Γ acts on (L, ∇) covering the...

Ngày tải lên: 16/02/2014, 05:20

... Mod g,n acts naturally on the set of isotopy classes of simple closed curves on S g,n . Every isotopy class of a simple closed curve contains a unique simple closed geodesic on X. Two simple closed geodesics ... volume form induced on  −1 (t). The decomposition of the surface along the simple closed curve γ gives rise to a description of M γ g,n in terms of modu...

Ngày tải lên: 06/03/2014, 08:21

... direct sum of Z/2’s, one for each type U(GL) representation of G which is nontrivial on ρ. Remark 6.2. Note that type U(C) representations of G exist only when w ≡ 1, and type U (GL) representations of ... isomorphism on L p 1 in the nonoriented case. In fact, the projection detects only the q = 1 component. This error invalidates the proofs of the main results of [8] for cycl...

Ngày tải lên: 22/03/2014, 20:20

... Z[ 1 2 ]-localization. Relationship to the Lie group case and the conjectural picture for p =2. We now state a common formulation of both the classification of compact con- nected Lie groups and the classification ... classification of compact connected Lie groups [20, §4, no. 9] can now be reformulated as follows: Theorem 1.11. Let D be the category of compact connected Lie...

Ngày tải lên: 22/03/2014, 20:21

... NHỮNG PHÁT HIỆN MỚI CỦA ĐỀ TÀI CŨNG NHƯ NHỮNG HẠN CHẾ CỦA ĐỀ TÀI NÀY, TỪ ĐÓ ĐỀ XUẤT NHỮNG ĐỀ TÀI NGHIÊN CỨU MỚI ĐỂ GIẢI QUYẾT NHỮNG HẠN CHẾ NÀY ? 6.1 Những phát hiện mới của đề tài Nghiên cứu tác ... phát thải SO 2 ). Đề tài này nghiên cứu so sánh nhiều công trình nghiên cứu trước liên quan đến vấn đề nghiên cứu của đề tài như: De Bruyn (1997), O’Connor (1994), Gerschenkron (19...

Ngày tải lên: 06/01/2014, 14:53

... action of G on ˜ X induces actions of G on both factors which either have the same oriented topological types as the actions of G on C 1 , resp. C 2 ,orhave both the oriented topological types of ... space of S consists of exactly two connected components, exchanged by complex conjugation. Whence, i) On the one hand we give simple counterexamples to the DEF = DIFF qu...

Ngày tải lên: 14/02/2014, 16:20

... the conclusion of Theorem 4.4 could have been stated as the joint ultrastrong ∗ continuity of φ when restricted to closed balls of finite radius. In [1], Akemann proved the equivalence of continuity ... on ψ F  (Remark 6.6). Let F be the normal conditional expectation of M onto M F , and define θ F : M k−1 →Mby the composition ψ F ◦ ( F ) k−1 .AnyF which contains a given set {x 1...

Ngày tải lên: 14/02/2014, 17:20