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21.
R. S. Garibaldi 《manuscripta mathematica》1999,98(1):97-113
Let F be a field of characteristic ≠ 2 such that is of cohomological 2- and 3-dimension ≤ 2. For G a simply connected group of type 3
D
4 or 6
D
4 over F, we show that the natural map
where Ω
F
is the set of orderings of F and F
v
denotes the completion of F at v, restricts to be injective on the image of H
1(F, Z(G)) in H
1(F, G).
For F not formally real, this implies that Serre's “Conjecture II” [Ser.94,III.3.1] holds for such groups if and only if trialitarian
groups are classified by their Tits algebras over F.
Received: 17 September 1998 相似文献
22.
23.
Jeffrey Lin Thunder 《Journal of Number Theory》2003,101(2):294-309
For homogeneous decomposable forms in n variables with real coefficients, we consider the associated volume of all real solutions to the inequality 72" alt="View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022314X03000398-si3.gif">. We relate this to the number of integral solutions to the Diophantine inequality in the case where F has rational coefficients. We find quantities which bound the volume and which yield good upper bounds on the number of solutions to the Diophantine inequality in the rational case. 相似文献
24.
The eigenfunctions with eigenvalues 1 or −1 of the transfer operator of Mayer are in bijective correspondence with the eigenfunctions with eigenvalue 1 of a transfer operator connected to the nearest integer continued fraction algorithm. This is shown by relating these eigenspaces of these operators to cohomology groups for the modular group with coefficients in certain principal series representations. 相似文献
25.
Marius Buliga 《Linear algebra and its applications》2008,429(7):1528-1545
The resemblance between the Horn-Thompson theorem and a recent theorem by Dacorogna-Marcellini-Tanteri indicates that Schur-convexity and the majorization relation are relevant for applications in the calculus of variations and its related notions of convexity, such as rank one convexity or quasiconvexity. In Theorem 6.6, we give simple necessary and sufficient conditions for an isotropic objective function to be rank one convex on the set of matrices with positive determinant.Majorization is used in order to give a very short proof of a theorem of Thompson and Freede [R.C. Thompson, L.J. Freede, Eigenvalues of sums of Hermitian matrices III, J. Res. Nat. Bur. Standards B 75B (1971) 115-120], Ball [J.M. Ball, Constitutive inequalities and existence theorems in nonlinear elastostatics, in: R.J. Knops (Ed.), Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, vol. 1, Res. Notes Math., 17, Pitman, 1977, pp. 187-241], or Le Dret [H. Le Dret, Sur les fonctions de matrices convexes et isotropes, CR Acad. Sci. Paris, Série I 310 (1990) 617-620], concerning the convexity of a class of isotropic functions which appear in nonlinear elasticity.Next we prove (Theorem 7.3) a lower semicontinuity result for functionals with the form ∫Ωw(D?(x))dx, with w(F)=h(lnVF). Here F=RFUF=VFRF is the usual polar decomposition of F∈gl(n,R), and lnVF is Hencky’s logarithmic strain.We close this paper with a compact proof of Dacorogna-Marcellini-Tanteri theorem, based only on classical results about majorization. The mentioned resemblance of this theorem with the Horn-Thompson theorem is thus explained. 相似文献
26.
XU Mancai SHI Zuoqing XIE Xianglin XU Mingcheng ZENG Ying LIANG Liyan HE Binglin 《Chinese Journal of Reactive Polymers》2000,(1)
1. INTRODUCTIONHydrogen bonding is a useful mechanism for adsorptive separation. The low enemy of thisbond ensures reversibility, while the directionality and the short range of this bond conferselectivity. The adsorption of hydrogen donating solutes onto an adsorbent capable of acceptinghydrogenedmberlite XAD-7, an adsorbent consisted of polycarboxylic ester--based onhydrogen bonding has been examined in detail 11-41. However, the adsorption of hydrogenaccepting solutes onto polymeric a… 相似文献
27.
J.-P. Labesse 《manuscripta mathematica》2001,104(4):407-430
We define Tamagawa numbers for quasi-connected linear algebraic groups. This category of non-connected linear algebraic groups
occurs naturally in the stabilization of the Arthur-Selberg trace formula. An expression for their Tamagawa numbers, needed
for the stabilization process, is given in term of cohomological invariants generalizing results of Ono, Sansuc, Kottwitz
and Kottwitz & Shestad.
Received: 7 March 2000 相似文献
28.
29.
G. Berhuy 《Advances in Mathematics》2005,198(1):128-171
We define and study a numerical invariant of an algebraic group action which we call the canonical dimension. We then apply the resulting theory to the problem of computing the minimal number of parameters required to define a generic hypersurface of degree d in Pn-1. 相似文献
30.
Steffen Huck Hans-Theo Normann Jörg Oechssler 《International Journal of Game Theory》2002,31(1):123-136
We report results of experiments designed to test the predictions of the best-reply process. In a Cournot oligopoly with
four firms, the best-reply process should theoretically explode if demand and cost functions are linear. We find, however,
no experimental evidence of such instability. Moreover, we find no differences between a market which theoretically should
not converge to Nash equilibrium and one which should converge because of inertia. We investigate the power of several learning
dynamics to explain this unpredicted stability.
Received May 1997/Revised June 2002 相似文献