In this paper, we develop differential characters in twisted K-theory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted K-theory with twisting given by a degree 3 Deligne class. This resolves an unsatisfactory dependence on choices of representatives of differential forms in the defi...

The photochemistry of a series of bis(acyl)phosphine oxides and the rate constants of the reactions of their phosphorus radicals with n-butylacrylate, thiophenol, bromotrichloromethane, oxygen, and methyl viologen have been investigated by laser flash photolysis. The results were compared to a mono(acyl)phosphine oxide ((2,4,6-trimethylbenzoyl)diphenylphosphine oxide). The variation in reactivi...

for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C. In this paper we will assume that, G is a p-group of exponent p and class 2, where p is prime and cd(G) = {1, |G : Z(G)|^1/2}. Then we will s...

As media technology evolves quickly, tailored and targeted communication has emerged as an important strategy in persuasion. One of the most widely used and easiest tactics of tailoring is using an exemplar or persuader character similar to the target audience. However, the effect of character-audience similarity may significantly differ depending on other message features such as how the simil...

Let Fq be a finite field with q elements, where q is the power of an odd prime, and let GSp(2n, Fq) and GO±(2n, Fq) denote the symplectic and orthogonal groups of similitudes over Fq, respectively. We prove that every real-valued irreducible character of GSp(2n, Fq) or GO±(2n, Fq) is the character of a real representation, and we find the sum of the dimensions of the real representations of eac...

Suppose that we are given a set S of powers of a prime p and that 1 ∈ S. A technique is presented that enables the construction of a p-group of specified nilpotence class n such that its set of irreducible character degrees is exactly S. If |S| ≥ 2, then this can be done for 2 ≤ n ≤ p and if p ∈ S, then the only requirement is 2 ≤ n.

Throughout this paper, G is a finite group and Irr(G) is the set of irreducible characters of G. We are particularly interested in the values these characters take on the identity of G. If χ ∈ Irr(G), then χ(1) is the degree of χ. The set of all degrees for G is written cd(G) = {χ(1) |χ ∈ Irr(G)}. In recent years, there has been much interest in finding connections between the structure of a fi...

Human persons can act with libertarian freedom in heaven according to one prominent view, because they have freely acquired perfect virtue their pre-heavenly lives such that acting rightly is volitionally necessary. But since the character of human not at death, how perfected? On unilateral model, God alone completes perfection character, and, on cooperative continues work them purgatory own ch...

for alexandr sergeyevich pushkin, one of the greatestrevolutionary novelists and poets of the 19th century, society and thegoverning power were two lifetime issues. pushkin portrayed different socialclasses including farmers, peasants, and rulers. moreover, he was master offorming character types. one of these character types that has been mainlydealt with in this study is the superfluous man i...