共查询到20条相似文献,搜索用时 46 毫秒
1.
The simple group A
1(p
n
) is proved to be uniquely determined by the set of the orders of the maximal abelian subgroups of A
1(p
n
). 相似文献
2.
Let A be an expanding n×n integer matrix with |det(A)|=m. Astandard digit set D for A is any complete set of coset representatives forℤ
n
/A(ℤ
n
). Associated to a given D is a setT (A, D), which is the attractor of an affine iterated function system, satisfyingT=∪
d∈D
(T+d). It is known thatT (A, D) tilesℝ
n
by some subset ofℤ
n
. This paper proves that every standard digit set D gives a setT (A, D) that tilesℝ
n
with a lattice tiling. 相似文献
3.
Let A , B be two unital C*-algebras. By using fixed pint methods, we prove that every almost unital almost linear mapping h : A → B which satisfies h(2 n uy) = h(2 n u)h(y) for all u ∈ U(A), all y ∈ A, and all n = 0, 1, 2, … , is a homomorphism. Also, we establish the generalized Hyers-Ulam-Rassias stability of *-homomorphisms on unital C*-algebras. 相似文献
4.
《代数通讯》2013,41(5):2095-2140
Abstract We construct an associative algebra A k and show that there is a representation of A k on V ?k , where V is the natural 2n-dimensional representation of the Lie superalgebra 𝔭(n). We prove that A k is the full centralizer of 𝔭(n) on V ?k , thereby obtaining a “Schur-Weyl duality” for the Lie superalgebra 𝔭(n). This result is used to understand the representation theory of the Lie superalgebra 𝔭(n). In particular, using A k we decompose the tensor space V ?k , for k = 2 or 3, and show that V ?k is not completely reducible for any k ≥ 2. 相似文献
5.
For an Azumaya algebra A with center C of rank n
2 and a unitary involution τ, we study the stability of the unitary SK1 under reduction. We show that if R = C
τ is a Henselian ring with maximal ideal
\mathfrakm{\mathfrak{m}} and 2 and n are invertible in R then
SK1(A, t) @ SK1(A/ \mathfrakm A, overline t){{{\rm SK}_1}(A, \tau) \cong {{\rm SK}_1}(A/ \mathfrak{m} A, overline \tau)}. 相似文献
6.
Let n random points be given with uniform distribution in the d-dimensional unit cube [0,1]d. The smallest parallelepiped A which includes all the n random points is dealt with. We investigate the asymptotic behavior of the volume of A as n tends to . Using a point process approach, we derive also the asymptotic behavior of the volumes of the k-th smallest parallelepipeds A
n
(k)
which are defined by iteration. Let A
n = A
n
(1)
. Given A
n
(k,-,1)
delete the random points X
i which are on the boundary A
n
(k,-,1)
, and construct the smallest parallelepiped which includes the inner points of A
n
(k,-,1)
, this defines A
n
(k)
. This procedure is known as peeling of the parallelepiped An. 相似文献
7.
We show that the Luzin area integral or the square function on the unit ball of ℂ
n
, regarded as an operator in the weighted space L
2(w) has a linear bound in terms of the invariant A
2 characteristic of the weight. We show a dimension-free estimate for the “area-integral” associated with the weighted L
2(w) norm of the square function. We prove the equivalence of the classical and the invariant A
2 classes. 相似文献
8.
Jitender Kumar 《代数通讯》2013,41(12):5152-5169
In order to study the structure of A +(B n )—the affine near-semiring over a Brandt semigroup—this work completely characterizes the Green's classes of its semigroup reducts. In this connection, this work classifies the elements of A +(B n ) and reports the size of A +(B n ). Further, idempotents and regular elements of the semigroup reducts of A +(B n ) have also been characterized and studied some relevant semigroups in A +(B n ). 相似文献
9.
Yiu Tung Poon 《Linear and Multilinear Algebra》2013,61(1-3):221-223
Let A 1,…,Am be nxn hermitian matrices. Definine W(A 1,…,Am )={(xA1x ?,…xAmx ?):x?C n ,xx ?=1}. We will show that every point in the convex hull of W(A 1,…,Am ) can be represented as a convex combination of not more than k(m,n) points in W(A 1,…,Am ) where k(m,n)=min{n,[√m]+δ n 2 m+1}. 相似文献
10.
《代数通讯》2013,41(8):2809-2825
Let k be a field and An(ω) be the Taft's n2-dimensional Hopf algebra. When n is odd, the Drinfeld quantum double D(An(ω)) of An(ω) is a ribbon Hopf algebra. In the previous articles, we constructed an n4-dimensional Hopf algebra Hn(p, q) which is isomorphic to D(An(ω)) if p ≠ 0 and q = ω?1 , and studied the irreducible representations of Hn(1, q) and the finite dimensional representations of H3(1, q). In this article, we examine the finite-dimensional representations of Hn(l q), equivalently, of D(An(ω)) for any n ≥ 2. We investigate the indecomposable left Hn(1, q)-module, and describe the structures and properties of all indecomposable modules and classify them when k is algebraically closed. We also give all almost split sequences in mod Hn(1, q), and the Auslander-Reiten-quiver of Hn(1 q). 相似文献
11.
Rumi Shindo 《Mediterranean Journal of Mathematics》2011,8(1):81-95
Let A, B be uniform algebras. Suppose that A
0, B
0 are subgroups of A
−1, B
−1 that contain exp A, exp B respectively. Let α be a non-zero complex number. Suppose that m, n are non-zero integers and d is the greatest common divisor of m and n. If T : A
0 → B
0 is a surjection with ||T(f)mT(g)n - a||¥ = ||fmgn - a||¥{\|T(f)^{m}T(g)^{n} - \alpha\|_{\infty} = \|f^{m}g^{n} - \alpha\|_{\infty}} for all f,g ? A0{f,g \in A_0}, then there exists a real-algebra isomorphism [(T)\tilde] : A ? B{\tilde{T} : A \rightarrow B} such that [(T)\tilde](f)d = (T(f)/T(1))d{\tilde{T}(f)^d = (T(f)/T(1))^d} for every f ? A0{f \in A_0}. This result leads to the following assertion: Suppose that S
A
, S
B
are subsets of A, B that contain A
−1, B
−1 respectively. If m, n > 0 and a surjection T : S
A
→ S
B
satisfies ||T(f)mT(g)n - a||¥ = ||fmgn - a||¥{\|T(f)^{m}T(g)^{n} - \alpha\|_{\infty} = \|f^{m}g^{n} - \alpha\|_{\infty}} for all f, g ? SA{f, g \in S_A}, then there exists a real-algebra isomorphism [(T)\tilde] : A ? B{\tilde{T} : A \rightarrow B} such that [(T)\tilde](f)d = (T(f)/T(1))d{\tilde{T}(f)^d = (T(f)/T(1))^d} for every f ? SA{f \in S_A}. Note that in these results and elsewhere in this paper we do not assume that T(exp A) = exp B. 相似文献
12.
V. A. Stukopin 《Journal of Mathematical Sciences》2007,142(2):1989-2006
The Yangian double DY(A(m, n)) of the Lie superalgebra A(m, n) is described in terms of generators and defining relations. We prove the triangular decomposition for Yangian Y(A(m, n)) and its quantum double DY(A(m, n)) as a corollary of the PBW theorem. We introduce normally ordered bases in the Yangian and its dual Hopf superalgebra in
the quantum double. We calculate the pairing formulas between the elements of these bases. We obtain the formula for the universal
R-matrix of the Yangian double. The formula for the universal R-matrix of the Yangian, which was introduced by V. Drinfel’d, is also obtained.
__________
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 2, pp. 185–208, 2005. 相似文献
13.
Mihai D. Staic 《Archiv der Mathematik》2009,93(3):205-211
We give an explicit characterization for group extensions that correspond to elements of the symmetric cohomology HS
2(G, A). We also give conditions for the map HS
n
(G, A) → H
n
(G, A) to be injective. 相似文献
14.
We define the notion of admissible pair for an algebra A, consisting on a couple (Γ, R), where Γ is a quiver and R a unital, splitted and factorizable representation of Γ, and prove that the set of admissible pairs for A is in one to one correspondence with the points of the variety of twisting maps TAn:=T(Kn,A)\mathcal{T}_A^n:=\mathcal{T}(K^n,A). We describe all these representations in the case A = K
m
. 相似文献
15.
Ding-hua YANG College of Mathematics Software Sciences Sichuan Normal University Chengdu China Chengdu Institute of Computer Applications Chinese Academy of Sciences Chengdu China 《中国科学A辑(英文版)》2007,50(3):423-438
In this paper, the concept of a finite mass-points system∑N(H(A))(N>n) being in a sphere in an n-dimensional hyperbolic space Hn and a finite mass-points system∑N(S(A))(N>n) being in a hyperplane in an n-dimensional spherical space Sn is introduced, then, the rank of the Cayley-Menger matrix AN(H)(or a AN(S)) of the finite mass-points system∑∑N(S(A))(or∑N(S(A))) in an n-dimensional hyperbolic space Hn (or spherical space Sn) is no more than n 2 when∑N(H(A))(N>n) (or∑N(S(A))(N>n)) are in a sphere (or hyperplane). On the one hand, the Yang-Zhang's inequalities, the Neuberg-Pedoe's inequalities and the inequality of the metric addition in an n-dimensional hyperbolic space Hn and in an n-dimensional spherical space Sn are established by the method of characteristic roots. These are basic inequalities in hyperbolic geometry and spherical geometry. On the other hand, some relative problems and conjectures are brought. 相似文献
16.
LetF(W) be a Wiener functional defined byF(W)=I
n(f) whereI
n(f) denotes the multiple Wiener-Ito integral of ordern of the symmetricL
2([0, 1]
n
) kernelf. We show that a necessary and sufficient condition for the existence of a continuous extension ofF, i.e. the existence of a function ø(·) from the continuous functions on [0, 1] which are zero at zero to which is continuous in the supremum norms and for which ø(W)=F(W) a.s, is that there exists a multimeasure (dt
1,...,dt
n
) on [0, 1]
n
such thatf(t
1, ...,t
n
) = ((t
1, 1]), ..., (t
n
, 1]) a.e. Lebesgue on [0, 1]
n
. Recall that a multimeasure (A
1,...,A
n
) is for every fixedi and every fixedA
i,...,Ai-1, Ai+1,...,An a signed measure inA
i
and there exists multimeasures which are not measures. It is, furthermore, shown that iff(t
1,t
2, ...,t
n
) = ((t
1, 1], ..., (t
n
, 1]) then all the tracesf
(k),
off exist, eachf(k) induces ann–2k multimeasure denoted by (k), the following relation holds
相似文献
17.
Oscar F. Bandtlow 《Integral Equations and Operator Theory》2008,61(1):21-43
For a, α > 0 let E(a, α) be the set of all compact operators A on a separable Hilbert space such that s
n
(A) = O(exp(-anα)), where s
n
(A) denotes the n-th singular number of A. We provide upper bounds for the norm of the resolvent (zI − A)−1 of A in terms of a quantity describing the departure from normality of A and the distance of z to the spectrum of A. As a consequence we obtain upper bounds for the Hausdorff distance of the spectra of two operators in E(a, α).
相似文献
18.
It is shown that ifA andB are non-empty subsets of {0, 1}
n
(for somenεN) then |A+B|≧(|A||B|)α where α=(1/2) log2 3 here and in what follows. In particular if |A|=2
n-1 then |A+A|≧3
n-1 which anwers a question of Brown and Moran. It is also shown that if |A| = 2
n-1 then |A+A|=3
n-1 if and only if the points ofA lie on a hyperplane inn-dimensions. Necessary and sufficient conditions are also given for |A +B|=(|A||B|)α. The above results imply the following improvement of a result of Talagrand [7]: ifX andY are compact subsets ofK (the Cantor set) withm(X),m(Y)>0 then λ(X+Y)≧2(m(X)m(Y))α wherem is the usual measure onK and λ is Lebesgue measure. This also answers a question of Moran (in more precise terms) showing thatm is not concentrated on any proper Raikov system. 相似文献
19.
Summary Let Abe a semisimple H*-algebra and let T: A→Abe an additive mapping such that T(x
n
+1)<span lang=EN-US style='font-size:10.0pt;mso-ansi-language:EN-US'>=T(x)x
n+x
n
T(x) holds for all x∈Aand some integer n≥1. In this case Tis a left and a right centralizer. 相似文献
20.
It is well known that the degree‐raised Bernstein–Bézier coefficients of degree n of a polynomial g converge to g at the rate 1/n. In this paper we consider the polynomial A
n(g) of degree ⩼ n interpolating the coefficients. We show how A
n can be viewed as an inverse to the Bernstein polynomial operator and that the derivatives A
n(g)(r) converge uniformly to g(r) at the rate 1/n for all r. We also give an asymptotic expansion of Voronovskaya type for A
n(g) and discuss some shape preserving properties of this polynomial.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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