positive 
Tilting modules for classical groups and howe duality in positive characteristics


In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.


For the case of positive characteristic we use the classification of finite irreducible groups generated by pseudoreflections due to Kantor, Wagner, Zalesski? and Sere?kin.


Semistable principal bundlesII (positive characteristics)


Computing invariants of reductive groups in positive characteristic


Let k be an integral domain, n a positive integer, X a generic n × n matrix over k (i.e., the matrix (xij over a polynomial ring k[xij] in n2 indeterminates xij), and adj(X) its classical adjoint.


Whether the corresponding results hold in positive characteristic is not known.


Let k be a field of characteristic zero, let a,b,c be relatively prime positive integers, and define a


Also, we discuss possible connections to the positive and cluster geometry of G/B+ × G/B, which would generalize results of Fomin and Zelevinsky on double Bruhat cells and Marsh and Rietsch on double Schubert cells.


A simple parametrization is given for the set of positive measures with finite support on the circle group T that are solutions of the truncated trigonometric moment problem:


When p is finite, a sequence {λn} of complex numbers will be called aframe forEp provided the inequalities hold for some positive constants A and B and all functions f inEp.


Behavior near the boundary of positive solutions of second order parabolic equations


It is proved that in the rectangle, the function h satisfies the followingfunctional inequality: where c is an absolute positive constant.


Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band


Given a positive definite ?1 sequence of matrices {cj}j∈S we prove that there is a positive definite matrix function f in the Wiener algebra on the bitorus such that the Fourier coefficients equal ck for k ∈ S.


A parameterization is obtained for the set of all positive extensions f of {cj}j∈S.


The problem is to find a positive constant L such that for any real sequence {μn}n∈? with μn λn ≤δ >amp;lt;L, is also a frame for L2[π, π].


Let Ω ??d have finite positive Lebesgue measure, and let (Ω) be the corresponding Hilbert space offunctions on Ω.


We give a partial positive answer to a problem posed by Coifman et al.


Further we obtain a complete classification of refinement equations with positive coefficients (in the case of finitely many terms) with respect to the existence of continuous or integrable compactly supported solutions.

