Đề tài " Topological equivalence of linear representations for cyclic groups: I " pdf

... is: H 1 (  K 0 (C R − ,G (Z))) $$ I I I I I I I I I δ 2 && H 1 (Wh(C R − ,G (Z))) $$ I I I I I I I I I %% L s 0 (C R − ,G (Z)) L h 1 (C R − ,G (Z)) $$ I I I I I I I I I :: u u u u u u u u u H 1 (∆ R − ) $$ I I I I I I I I I :: u u u u u u u u u L s 1 (C R − ,G (Z)) :: u u u u u u u u u 88 L p 1 (C R − ,G (Z)) :: u u u u u u u u u 88 H 0 (  K 0...

Ngày tải lên: 22/03/2014, 20:20

... −a, (R 0 ) kl =        v −1 i  s =i Q is v s ,k= l = i, −Q il ,k= i, l = i, −v −1 i v k ,k= i, l = i, δ kl ,k= i, l = i, R 1 = v −1 i v  Q i1 , ,Q i, i−1 , 1,Q i, i+1 , ,Q im  . The proof is straightforward. Now ... in- clude dPII, dPIV, dPV, and q-PVI. Introduction In recent years there has been considerable interest in analyzing a certain class of disc...

Ngày tải lên: 14/02/2014, 17:20

... here give an explicit formula for π: Let h ij = s i ,s j , where s i is a basis of H 0 (N,L k ). Let h −1 ij be the inverse matrix of h ij . Then π(s)=  i, j s, s i h −1 ij s j .(8) This formula ... Feldtheorie, Habilitation thesis, Universitaet Mannheim, 1996. [Sch1] M. Schlichenmaier, Deformation quantization of compact K¨ahler manifolds by Berezin-Toeplitz quantization,...

Ngày tải lên: 16/02/2014, 05:20

... then establish the main ergodic properties of µ f : it is mixing with p ositive Lyapunov exponents, preimages of ”most” points as well as repelling periodic points are equidis- tributed with respect ... Charles Favre for several interesting conversations. 1. Numerical invariants In this section we define and establish inequalities between several numer- ical invariants. This involves som...

Ngày tải lên: 06/03/2014, 08:21

... obtain the fact that all ergodic linear automorphism of T N are stably ergodic when N ≤ 5. 1. Introduction The purpose of this paper is to give sufficient conditions for a linear au- tomorphism ... that is, C(x) ∩ W c (0) is a topological one-dimensional manifold without boundary; i. e., it is homeomor- phic to either S 1 or (−1, 1). Moreover, by the differentiability of the holon...

Ngày tải lên: 06/03/2014, 08:21

... category of finite dimensional k -representations of ˇ G is equivalent to P G O (Gr, k), as tensor categories. Before giving a proof of this theorem we discuss it briefly from the point of view of representation ... the choice of a Borel subgroup of  G is equivalent to a consistent choice of a line, the highest weight line, in each irreducible representation of  G. The choi...

Ngày tải lên: 06/03/2014, 08:21

... |∇A| 2 .(II.2.9) Since the Jacobi equation is the linearization of the minimal graph equation over Σ, analogs of (II.2.8) and (II.2.9) hold for solutions of the minimal graph equation over Σ. In particular, ... otherwise . (II.1.20) Using (II.1.3) and (II.1.19), we get E(ψ 1 ) ≤ C(m + R 1 /r 1 )/ log Ω .(II.1.21) 46 TOBIAS H. COLDING AND WILLIAM P. MINICOZZI II As in (II.1.15), we app...

Ngày tải lên: 14/03/2014, 22:20

... of characters   i I χ λ i | I ⊂ P + ,  i I λ i =Λ  . It is not true that this set of characters is linearly independent, since for a fixed Λ the cardinality of this set grows exponentially (since it is given ... PRODUCTS OF IRREDUCIBLE REPRESENTATIONS 691 Specialising x 1 = 1 and writing t instead of x 2 , we obtain  1 i n z i 1 − t a i +c 1 − t a i =0. Expan...

Ngày tải lên: 14/03/2014, 22:20

... Extending the invariant splitting for renormalization Our aim in this section is to show that the invariant splitting on the limit set K of the operator T given by Theorem 2.4, which is an iterate ... continuous injection K i →A i for each i, and will accordingly identify each x ∈ K i with its image in A i . Now suppose T : K → K is a homeomorphism (in the case we are inter- es...

Ngày tải lên: 22/03/2014, 20:20