The maximal Z-order Γ of the integral group ring ZG of the finite cyclic group ordered pr in QG has been discussed and a concrete expression formula of Γ has been produced.
This paper proved, if I is ideal of N, then①J_2(I)■J_2(N)∩I,②If Г is 2-type group of I, then L={n∈N|ne∈L}={n-ne|n∈N}+L is maximal2-type group of N, with e is modular left unity, L is modular lift ideal ofI, and L+Ie=N.
We say that a Kleinian group Γis quassi-finitely generated if it can be represented by Γ= (γ1,…,γ_n, Γ(B)), where Γ(B) is a maximal annihilated subgroup.
We say that a Kleinian group is quassi-finitely generated if it can be represented by =(γ_1, …, γ_n, (B)), where (B) is a maximal annihilated subgroup.
In particular, we give a detailed description of these sets in terms of cross-sections inside maximal R-tori ofH.
例句来源
Whenever the action of a maximal torus on the coneCλ* has some nice properties, we obtain simple closed formulas for all weight multiplicities and theirq-analogs in the representationsVnλ,n∈?.
例句来源
LetG be a connected, simply-connected, real semisimple Lie group andK a maximal compactly embedded subgroup ofG such thatD=G/K is a hermitian symmetric space.
例句来源
LetG be a complex reductive Lie group with maximal compact subgroupK andG×X →X a holomorphic action on a Stein manifoldX.
例句来源
Finiteness of the number of maximal open subsets with good quotients
In [3], A. Brauer considered a method to compute the maximal eigenvalue of Positive metriees (in the sense that all elements are positive). In this paper we reproved Brauer's theorem by refining his method, so that our way is simpler and quicker. Showing by an example, we showed that at least in certain cases, our method is faster than that of Hall and Porsching deduced in 1968. Our method is further extended to some other types of matrices, such as irreducible non-negative matrices and so-called sub-...
This paper continues to study the theory of the first paper by the author with symbols and notions appearing in this paper the same as in the first one if not specially stated. In order to state our main results, we first introduce some notions.An ideal a is called hypernilpotent, if there exists a finite number of positive intergers n_1, n_2,…, n_r such that a~(n1,n2,…,nr)=0.It is proved that a is hypernilpotent if and only if a is solvable, i.e. there exists an integer m ≥0 such that a~((m)) = 0.From the ...
Let X denote a reflexive Banach space, X~* its dualspace. Let A, B betwo monotone mappings from X to 2~(X*). The purpose of this paper is to con-sider the relation between R(A + B) and R(A) + R(B), and by means of theresult on R(A + B) R(A) + R(B) to consider the existence of solution in Xon a class of nonlinenr integral equations of abstract Urysohn type: Defintion 1. Let X be a real Banach space, and A: X→2~* a monotonemapping. We say that A has the property(* ),if for every f∈R(A), y∈D(A),we have Definit...