[PDF] Top 20 The pro p group of upper unitriangular matrices

... discrete group, and this can be seen from the fact that im(ϕ) is not closed in ...a pro-p group for the topology defined by taking the set F of all the subgroups of F of finite p-power ... See full document

... As soon as the classical dynamical r-matrices first appeared [1] on the scene of integrable many body systems, the problem of their quantization became of a real interest. The main hope related to this problem is ... See full document

... Hermitian matrices Н i that, firstly, satisfy relations (14) and, secondly, actually give irreducible representations of ...the matrices of infinitesimal rotations A i too, which, as a matter of fact, is ... See full document

... and upper bounds of arrowhead matrices is from Kung and Suter’s recent work on the hub matrix theory [9] and its applications to multiple- input and multiple output (MIMO) wireless communication ... See full document

... new upper bounds on the spectral radius of the Hadamard product of two nonnegative matrices and some upper and lower bounds on the spectral radius of the iterative matrix of a nonsingular M-matrix ... See full document

... a group Lasso ...data. Group Lasso estimators have been studied in the standard linear model and in multiple kernel learning to impose a group-sparsity structure on the parameters to recover (see ... See full document

... Let A be an algebraic system with product a*b between elements a and b in A. Define A 1 = A*A and A k+1 = A k *A k . A is called solvable of length t if there exists a t such that A t = 0 and A t-1 is nonzero. It is of ... See full document

... Toeplitz matrices, which have connections with signal and image processing, time series analysis and many other problems ...and upper bounds for the spectral norms of Toeplitz matrices with classical ... See full document

... and upper triangular matrices whose non-negative entries are such that all rows and columns contain at least one non-zero ...of matrices are shown to have simple formulations in terms of ascent ... See full document

... an upper bound for the rank of the torsion subgroup of D(P ...If P is an abelian group, we can consider the “projection” ρ P : D(P) T (P ), defined thanks to ... See full document

... The Cramer-Shoup cryptosystem is a generalization of ElGamal’s protocol. It is provably secure against adaptive chosen ciphertext attack (CCA). Moreover, the proof of security relies only on a standard intractability ... See full document

... rows of the matrix at a time, the authors of [4,5] derived new upper bounds for r(A ○ B) that improved the results of [2,3]. As we all know, besides Gersgorin theorem and Brauer theorem, Brualdi theorem is also an ... See full document

... regular matrices. Although the matrices of idempotents as con- structed in sections 6 and 6 produce separable paraunitary matrices these can be useful structures in themselves; they may also be used ... See full document

... In this section we give more applications of Theorem 1.1. We remark first that the problem of finding lower bounds of non-negative weighted mean matrices acting on non-increasing non- negative sequences in l ... See full document

... Find min {ρ(q(z)) | q(z) is a real monic polynomial of degree p and q(1) = r} , (4) where r ∈ R and ρ(q(z)) denotes the maximum modulus over all roots of q(z). Although a vast range of techniques have been ... See full document

... In section 3.2 we determine the dimensioned« variety VD(<p). By definition the dimension of an irreducible algebraic variety is the transcendence degree over K o f its field of rational functions, i.e. the Held ... See full document

... from the PI-point of view, these are very interesting cases. The survey is divided into two parts. The first one (Sections 1,2,3,4 and 5) deals with ordinary cocharacter sequences and the second one (Sections 6,7 and 8) ... See full document

... of matrices associated with linear ...of matrices belonging to algebras with known spectral properties, such as the Circulant and the generalised ... See full document

... the matrices. We give the definition of A*-matrices, example, Proves the theorem the set of mn matrices forms an A*-algebra, Boolean algebras over the matrices forms an A*-algebra ,Every ... See full document

... This distinction has served as fundamen- tal to the bi-hemispheric theory of language, according to which the syntagmatic structure (the signifiers) would have fundamentally its origin[r] ... See full document