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    Character Levels and Character Bounds. II

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    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∣|G| in a logarithmic sense. We strengthen the results of [GLT] and extend them to all groups of classical type

    Character Evidence

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    Parafermionic character formulae

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    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 ZNZ_N parafermionic primary fields. These characters provide novel field theoretical expressions for \su(2) string functions.Comment: Harvmac (b mode : 37 p

    Stanley character polynomials

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    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

    A Character Sketch

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    Character

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    Character denotes the particular set of qualities, both natural and acquired, that serves to identify a person or community. These qualities are relatively stable and will be manifest as a consistency of act~ on that can be termed integrity. Accordingly, in the context of Christian ethics, character names an established disposition (or set of dispositions) with respect to the particular conception of the . human good exemplified by Christ. Such character ts developed over time and, as such, can be formed either toward or away from virtues, understood as those intellectual and affective habits that enable the pursuit of excellence. Conceptually, then, attention to the notion of character accents the dynamic and intentional process of formation that shapes the predispositions of an individual\u27s moral and intellectual terrain
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