Character Levels and Character Bounds. II

This paper is a continuation of [GLT], which develops a level theory and establishes strong character bounds for finite simple groups of linear and unitary type in the case that the centralizer of the element has small order compared to $|G|$ in a logarithmic sense. We strengthen the results of [GLT] and extend them to all groups of classical type

Stanley character polynomials

Stanley considered suitably normalized characters of the symmetric groups on Young diagrams having a special geometric form, namely multirectangular Young diagrams. He proved that the character is a polynomial in the lengths of the sides of the rectangles forming the Young diagram and he conjectured an explicit form of this polynomial. This Stanley character polynomial and this way of parametrizing the set of Young diagrams turned out to be a powerful tool for several problems of the dual combinatorics of the characters of the symmetric groups and asymptotic representation theory, in particular to Kerov polynomials.Comment: Dedicated to Richard P. Stanley on the occasion of his seventieth birthda

Graduates of Character - Values and Character: Higher Education and Graduate Employment

Graduates of Character is the product of an empirical enquiry into the values, virtues, dispositions and attitudes of a sample of students and employees who volunteered to be involved. The research team sought host sites which would offer a diverse set of interviewees in gender, ethnicity, religion and aspiration. In this study we discuss what character is taken to mean by students and employees in their years of higher education and employment. We examine what their values are, what they gain from the university, what they believe employers look for when recruiting, what they hope to give to an employer, and what they expect from their employer. We then explore who or what influenced their values and moral development. We also examined the role of the personal tutor or mentor, and the persons or services to which they might go for personal and/or professional support

Character, global and local

Philosophers have recently argued that we should revise our understanding of character. An individual’s behaviour is governed not by a set of ‘global’ traits, each elicited by a certain kind of situational feature, but by a much larger array of ‘local’ traits, each elicited by a certain combination of situational features. The data cited by these philosophers supports their theory only if we conceive of traits purely in terms of stimulus and response, rather than in the more traditional terms of inner mental items such as inclinations. We should not adopt the former conception, since doing so would impede pursuit of the ethical aims for which we need a theory of character, whereas retaining the latter conception will facilitate this pursuit. So we should not revise our understanding of character in this way

Parafermionic character formulae

We study various aspects of parafermionic theories such as the precise field content, a description of a basis of states (that is, the counting of independent states in a freely generated highest-weight module) and the explicit expression of the parafermionic singular vectors in completely irreducible modules. This analysis culminates in the presentation of new character formulae for the $Z_N$ parafermionic primary fields. These characters provide novel field theoretical expressions for \su(2) string functions.Comment: Harvmac (b mode : 37 p