Đề tài " Automorphism groups of finite dimensional simple algebras " pptx

... sequence. Annals of Mathematics Automorphism groups of finite dimensional simple algebras By Nikolai L. Gordeev and Vladimir L. Popov* FINITE DIMENSIONAL SIMPLE ALGEBRAS 1059 Proposition ... that many (Galois) cohomological invariants of algebraic groups are defined via realizations of groups as the automorphism groups of some finite dimensi...

Ngày tải lên: 14/03/2014, 22:20

... get a continuous lift of  Φ| B 1 C ×U extending Ψ| A 1 C ×U . By the uniqueness of liftings we get a continuous lift of  Φ completing the proof of (iii). (iv) In view of (ii), we get an analytic ... similar to one held by Levi factors of parabolic subgroups. This will allow us to take care of most of the classical groups. The remaining cases are treated at the end of this...

Ngày tải lên: 28/03/2014, 22:20

... lemma. Lemma 6. Assume that Lemma 5 holds for all simple Lie algebras of rank at most l.Let⊕ s∈S g s be a direct sum of simple Lie algebras of g s of rank at most l. For each s ∈ S, assume that ... representations of simple algebraic groups By C. S. Rajan Abstract We show that a tensor product of irreducible, finite dimensional represen- tations of a simple Lie al...

Ngày tải lên: 14/03/2014, 22:20

... Arithmetic structure of fundamental groups and actions of semisimple Lie groups, Topology 40 (2001), 851–869. [Mar] G. A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Ergeb. der Math. ... Arithmeticity of holonomy groups of Lie foliations, J. Amer. Math. Soc. 1 (1988), 35–58. [Zim6] ——— , Representations of fundamental groups of manifolds with semisimple trans-...

Ngày tải lên: 22/03/2014, 20:20

... ρ n,d k throughout the rest of the paper. Our key idea in the proof of Theorem 1 is the use of the endomorphism bundle End(V k ) and the construction of sections of this bundle via Toeplitz operators ... a purely TQFT consequence of Corollary 1. In this paper we have initiated the program of using of the theory of Toeplitz operators on the moduli spaces in the study of TQF...

Ngày tải lên: 16/02/2014, 05:20

... identification of the K-theory of chain complexes of an additive category with the K-theory of the additive category is an Euler characteristic (see e.g. [9]). By abuse of notation we denote the category of ... q-component of QG Annals of Mathematics Topological equivalence of linear representations for cyclic groups: I By Ian Hambleton and Erik K. Pedersen SIM...

Ngày tải lên: 22/03/2014, 20:20

... description of the automorphisms of BN X . Section 6 contains the reduction to the case of simple, center-free, connected p-compact groups. In Section 7 we prove an integral version of a theorem of Nakajima, ... upon. 2. Skeleton of the proof of the main Theorems 1.1 and 1.4 The purpose of this section is to give the skeleton of the proof of the main Theorems 1.1 and 1....

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 ... HÌNH LÝ THUYẾT CỦA ĐỀ TÀI ? Mô hình nghiên cứu của đề tài là nghiên cứu giải tích 2.1 Tóm lược và phân tích các đề tài nghiên cứu trước đây: Tác giả nghiên cứu Nội dung Vấn đề cần n...

Ngày tải lên: 06/01/2014, 14:53

... contradiction assuming the existence of an anti- holomorphic automorphism σ of C. Step I. G = A, where A is the group of holomorphic automorphisms of C, A := Bihol(C, C). Proof. This follows from the previous ... byproduct of our arguments, the following: Theorem 1.6. There are infinite series of groups Γ which are funda- mental groups of complex surfaces but which cannot b...

Ngày tải lên: 14/02/2014, 16:20

... Kadison, Derivations of operator algebras, Ann. of Math. 83 (1966), 280–293. [23] R. V. Kadison and J. R. Ringrose, Cohomology of operator algebras I. Type I von Neumann algebras, Acta Math. ... joint continuity of Corollary 4.5. We now come to the main result of this section, the vanishing of cohomol- ogy for property Γ factors with separable predual. The heart of the proof...

Ngày tải lên: 14/02/2014, 17:20