Đề tài " Topological equivalence of linear representations for cyclic groups: I " pdf
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...
Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
... −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...
Tài liệu Đề tài " Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups " pdf
... 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,...
Đề tài " Ergodic properties of rational mappings with large topological degree " pot
... 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...
Đề tài " Stable ergodicity of certain linear automorphisms of the torus " ppt
... 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...
Đề tài " Geometric Langlands duality and representations of algebraic groups over commutative rings " pptx
... 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...
Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks " doc
... |∇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...
Đề tài " Unique decomposition of tensor products of irreducible representations of simple algebraic groups " pot
... 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...
Đề tài " Global hyperbolicity of renormalization for Cr unimodal mappings " pptx
... 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...