We prove global versions of certain known nonlinear Brascamp– Lieb inequalities under a natural homogeneity assumption. We also establish a conditional theorem allowing one to generally pass from local to global nonlinear Brascamp–Lieb estimates under such a homogeneity assumption.

Introduction 1 1. Representation Theory of Finite Groups 2 1.1. Preliminaries 2 1.2. Group Algebra 4 1.3. Character Theory 5 2. Irreducible Representations of the Symmetric Group 8 2.1. Specht Modules 8 2.2. Dimension Formulas 11 2.3. The RSK-Correspondence 12 3. Schur-Weyl Duality 13 3.1. Representations of Lie Groups and Lie Algebras 13 3.2. Schur-Weyl Duality for GL(V ) 15 3.3. Schur Functor...

This paper describes a family of Hecke algebras Hμ = EndG(Ind G U (ψμ)), where U is the subgroup of unipotent upper-triangular matrices of G = GLn(Fq) and ψμ is a linear character of U . The main results combinatorially index a basis of Hμ, provide a large commutative subalgebra of Hμ, and after describing the combinatorics associated with the representation theory ofHμ, generalize the RSK corr...

In this paper, we develop the Robinson-Schensted correspondence for the signed Brauer algebra. The Robinson-Schensted correspondence gives the bijection between the set of signed Brauer diagrams d and the pairs of standard bi-domino tableaux of shape λ = (λ1, λ2) with λ1 = (2 2f ), λ2 ∈ Γf,r where Γf,r = {λ|λ ` 2(n − 2f) + |δr| whose 2−core is δr, δr = (r, r − 1, . . . , 1, 0)}, for fixed r ≥ 0...

A code is called propelinear if its automorphism group contains a subgroup that acts regularly on its codewords, which is called a propelinear structure on the code. In the paper a classification of the propelinear structures on the Nordstrom-Robinson code is obtained and the question of extension of these structures to propelinear structures of the Hamming code, that contains the Nordstrom-Rob...

We derive author's discrete forms of the Beckman-Quarles theorem from the definability results of Raphael M. Robinson. The classical Beckman-Quarles theorem states that each map from R n to R n (n > 1) preserving all unit distances is an isometry, see [1]-[3]. In this note we derive author's discrete forms of this theorem ([6]) from the definability results of Raphael M. Robinson (see [4] and a...

We derive author's discrete forms of the Beckman-Quarles theorem from the definability results of Raphael M. Robinson. The classical Beckman-Quarles theorem states that each map from R n to R n (n > 1) preserving all unit distances is an isometry, see [1]-[3]. In this note we derive author's discrete forms of this theorem ([6]) from the definability results of Raphael M. Robinson (see [4] and a...

Using a generalization of the Schensted insertion algorithm to rcgraphs, we provide a Littlewood-Richardson rule for multiplying certain Schubert polynomials by Schur polynomials.

Information is meager concering the influence of salts on the metabolic processe of halophiles. In fact, reports of the work of Robinson et al. (1952) are the only recent studies in this field. Robinson (1952) showed that there was an optimum concentration of sodium chloride for maximum activity of lactic acid dehydrogenase. While studying the effect of salt on Micrococcwu halodenifns, Robinson...

For New Neurons in an Old Brain, cdk5 Shows the Way Richard Robinson Citation: Robinson R (2008) For New Neurons in an Old Brain, cdk5 Shows the Way. PLoS Biol 6(11): e291. doi:10.1371/journal.pbio.0060291 Published: November 11, 2008 Copyright: © 2008 Richard Robinson. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrest...