Gutierrez, E., Seebacher, N., Arzuman, L., Kovacevic, Z., Lane, D., Richardson, V., Merlot, A., Lok, H., Kalinowski, D., Sahni, S., Jansson, P., Richardson, D. (2016). Lysosomal membrane stability plays a major role in the cytotoxic activity of the antiproliferative agent, di-2-pyridylketone 4,4-dimethyl-3thiosemicarbazone (Dp44mT). Biochimica et Biophysica Acta: international journal of bioche...

This paper provides new, relatively simple, proofs of some important results about unipotent classes in simple linear algebraic groups. We derive the formula for the Jordan blocks of the Richardson class of a parabolic subgroup of a classical group. This result was originally due to Spaltenstein. Secondly, we derive the description of the natural partial order of unipotent classes in the genera...

We give a proof of the Littlewood-Richardson Rule for describing tensor products of irreducible finite-dimensional representations of GLn. The core of the argument uses classical invariant theory, especially (GLn,GLm)duality. Both of the main conditions (semistandard condition, lattice permutation/Yamanouchi word condition) placed on the tableaux used to define Littlewood-Richardson coefficient...

In this paper we show that the existence of plane partitions, which are minimal in a sense to be defined, yields minimal irreducible summands in the Kronecker product χ ⊗ χ of two irreducible characters of the symmetric group S(n). The minimality of the summands refers to the dominance order of partitions of n. The multiplicity of a minimal summand χ equals the number of pairs of Littlewood-Ric...

Introduction. A fundamental paper in the theory of solving partial differential equations by iteration has been written by Frankel.1 In this paper Frankel discusses the Richardson and Liebmann procedures and their corresponding accelerated procedures. The latter are termed the extrapolated Liebmann and the second-order Richardson procedures. From his paper three disadvantages of the second-orde...

EXPLORING THE STRUCTURAL DIVERSITY AND ENGINEERING POTENTIAL OF THERMOPHILIC PERIPLASMIC BINDING PROTEINS by Matthew Joseph Cuneo Department of Biochemistry Duke University Date:_______________________ Approved: ___________________________ Homme W. Hellinga, Supervisor ___________________________ Jane Richardson ___________________________ John York ___________________________ Michael Fitzgeral...

The destruction brought by World War II fashioned an intense fear of any instability in the international system. The primary result of this fear is the institution of the United Nations, which, in turn, has been compelled to undertake a number of state building and peace keeping operations. While the international community has seen success in these operations, many states continue to fail – f...

The McFadden Act of 1927 was one of the most hotly contested pieces of legislation in U.S. banking history, and its influence was still felt over half a century later. The act was intended to force states to accord the same branching rights to national banks as they accorded to state banks. By uniting the interests of large state and national banks, it also had the potential to expand the numbe...

Abstract. Let α, β, and γ be partitions describing the isomorphism types of the finite abelian p-groups A, B, and C. From theorems by Green and Klein it is well-known that there is a short exact sequence 0→ A→ B → C → 0 of abelian groups if and only if there is a Littlewood-Richardson sequence of type (α, β, γ). Starting from the observation that a sequence of partitions has the LR property if ...

When G is a complex reductive algebraic group and G/K is a reductive symmetric space, the decomposition of C[G/K] as a K-module was obtained (in a non-constructive way) by R. Richardson, generalizing the celebrated result of Kostant-Rallis for the linearized problem (the harmonic decomposition of the isotropy representation). To obtain a constructive version of Richardson’s results, this paper ...