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Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
topological algebras the integral K-theoretic Novikov conjecture K-Theory and Homology Algebraic Topology
2011/9/2
Abstract: We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost connected Lie group satisfies the integral...
Integral Bases for the Universal Enveloping Algebras of Map Algebras
the Universal Enveloping Algebras Map Algebras Integral Bases Representation Theory
2011/8/26
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral f...
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal domain, such categories...
We give a list of finite groups containing all finite groups G such that the group of units ZG∗ of the integral group ring ZG is subgroup separable. There are only two types of these groups G fo...
Torsion units in integral group rings of Conway simple groups
Zassenhaus conjecture torsion unit partial augmentation
2011/2/24
Using the Luthar–Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and C...
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions
completely selfdecomposable distribution infinitely divisible dis-tribution
2011/1/17
For infinitely divisible distributions on Rd the stochastic integral map-ping f is defined as the distribution of improper stochastic integral R∞−0 f(s)dX() s ,where f(s) is a non-random f...
A graph is called integral if all eigenvalues of its adjacency matrix consist entirely of integers. Recently, Csikvari proved the existence of integral trees of any even diameter. In the odd case, int...
Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory
the Borwein-Broadhurst conjecture dilogarithmic integral arising quantum field theory
2010/11/8
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\te...
Integral Menger curvature for sets of arbitrary dimension in $\mathbb{R}^n$. Part I: Uniform Ahlfors regularity
Integral Menger curvature math
2010/11/15
We propose the notion of integral Menger curvature for $m$-dimensional sets in $n$-dimensional Euclidean space and prove that finiteness of this quantity implies Ahlfors regularity with constant depe...
Multivalued stochastic partial differential-integral equations via backward doubly stochastic differential equations driven by a Lévy process
partial differential-integral equations stochastic differential equations
2010/11/19
In this paper, we deal with a class of backward doubly stochastic differential equations (BDSDEs, in short) involving subdifferential operator of a convex function and driven by Teugels martingales a...
If A is a homotopy cartesian square of ring spectra satisfying connectivity hypotheses, then the cube induced by Goodwillie’s integral cyclotomic trace K(A) ! TC(A) is homotopy cartesian. In other wor...
Integral Mean Estimates for Polynomials whose Zeros are within a Circle
Polynomials Zeros of order $m$ Inequalities Polar derivatives
2010/1/22
Let be a polynomial of degree . Zygmund [11] has shown that for In this paper, we have obtained inequalities in the reverse direction for the polynomials having a zero of order at the origin. W...
Strongly Singular Integral Operators On Weighted Hardy Space
Strongly singular Calder\'{o}n--Zygmund operatorsStrongly singular Calder\'{o}n--Zygmund operators Hardy spaces $A_p$ weight
2007/12/12
In this paper, we obtain that a strongly singular integral operator is bounded on $L^p_w$ space for $1infty$. We also obtain that a strongly singular integral operator is a bounded operator from $...
On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality
norm self-adjoint bilinear inequality Beta function
2007/12/11
In this paper, the expression of the norm of a self-adjoint integral operator $T:$ $% L^{2}(0,\infty )\rightarrow L^{2}(0,\infty )$ is obtained. As applications, a new bilinear integral inequality wit...
Finding roots of unity among quotients of the roots of an integral polynomial
Finding roots unity among quotients the roots integral polynomial
2013/9/3
We present an efficient algorithm for testing whether a given integral polynomial has two distinct roots a, B such that fflp is a root of unity. The test is based on results obtained by investigation ...