Tài liệu Đề tài " Periodic simple groups of finitary linear transformations " doc

... subspace of V ∗ or V as a subspace Annals of Mathematics Periodic simple groups of finitary linear transformations By J. I. Hall PERIODIC SIMPLE GROUPS OF FINITARY LINEAR TRANSFORMATIONS 463 of ... symplectic form is a special type of orthogonal form.) PERIODIC SIMPLE GROUPS OF FINITARY LINEAR TRANSFORMATIONS 461 For a sesquilinear...

Ngày tải lên: 16/02/2014, 05:20

... formula, which expresses the ranks of the quotients of the lower central series of π 1 of certain arrangements, in combinatorial terms. The LCS formula for pure braid groups was discovered by Kohno, ... the discussion after the proof of Theorem 3. 2. Polar curves, affine Lefschetz theory and degree of gradient maps The use of the local polar varieties in the study of singular...

Ngày tải lên: 14/02/2014, 16:20

... first part of the following lemma is proved in [13]. Annals of Mathematics Boundary behavior for groups of subexponential growth By Anna Erschler BOUNDARY BEHAVIOR FOR GROUPS OF SUBEXPONENTIAL ... F 1 g 0 (n  ) and completes the proof of the lemma. Now we apply Lemma 6.4 to f(n)=f m (n) and this completes the proof of the theorem. BOUNDARY BEHAVIOR FOR GROUPS...

Ngày tải lên: 14/02/2014, 17:20

... 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

... measure of G k . This theorem is a special case of Shah’s more general Theorem 1.4 in [27] on the equidistribution of translates of unipotent orbits. Because of the simple structure of the Lie groups ... is of index three in Γ k . Proof. It is well known [9] that Γ θ is of index three in SL(2, ) and SL(2, )= 2  j=0 Γ θ  0 −1 11  j . By virtue of the group isomorphism...

Ngày tải lên: 14/02/2014, 16:20

... 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 be fundamental groups of areal ... form is even: then S is a connected sum of copies of P 1 C × P 1 C and of a K3 surface if the signature is negative, and of copies of P 1 C × P 1 C and of a K3 surface with...

Ngày tải lên: 14/02/2014, 16:20

... result of this section, a multilinear inequality which builds on the bilinear case of Lemma 3.1. We will use three versions {ψ i } 3 i=1 of the map ψ in the previous lemma, with various values of ... 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 pr...

Ngày tải lên: 14/02/2014, 17:20

... completes the proof of Lemma A.1. A.3. The completion of the proof Let H beaseparable Hilbert space. Denote by L(H) the Banach algebra of bounded linear operators on H, and by U(H) the subset of unitary ... 2002) Annals of Mathematics Hausdorff dimension of the set of nonergodic directions By Yitwah Cheung Annals of Mathematics, 158 (2003), 661–678 Hausdorff...

Ngày tải lên: 14/02/2014, 17:20

... yields the claim in (2.80). This completes the proof of Lemma 6. This completes the proof of Proposition 4 and hence of Theorem 1. 3. Proof of Theorem 2 In this section we indicate how the arguments ... side of the analogue of (2.86). The integral on the right-hand side of (3.9) is of order  1/2 log(1/). Hence we get C 5/6 log(1/) for the second term on the right-hand side...

Ngày tải lên: 14/02/2014, 17:20

... terms of the unit groups of orders in cubic fields. This article is organized as follows. Each of the three spaces of forms men- tioned above possesses a natural action by a product of linear groups ... corresponding groups are equal roughly to the 2-parts of the ideal class groups of cubic rings. In the case of pairs of senary alternating 2-forms, we show that the...

Ngày tải lên: 14/02/2014, 17:20