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Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.

Solvable groups. --- Representations of groups. --- Permutation groups. --- Substitution groups --- Group theory --- Group representation (Mathematics) --- Groups, Representation theory of --- Soluble groups --- Solvable groups --- Representations of groups --- Permutation groups

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Topological groups. Lie groups --- Representations of groups --- Semisimple Lie groups --- Semi-simple Lie groups --- Lie groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Semisimple Lie groups. --- Groupes de Lie semi-simples --- Représentations de groupes --- Groupes de Lie semi-simples. --- Représentations de groupes.

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Ann Vasaly introduces representation theory into the study of Ciceronian persuasion and contends that an understanding of milieu--social, political, topographical--is crucial to understanding Ciceronian oratory. As a genre uniquely dependent on an immediate interaction between author and audience, ancient oratory becomes performance art. Vasaly investigates the way Cicero represented the contemporary physical world--places, topography, and monuments, both those seen and those merely mentioned--to his listeners and demonstrates how he used these representations to persuade. Her exceptionally well-written study deftly recaptures the immediacy of Cicero's oratory and makes a trenchant contribution to an important new area of inquiry in Classical Studies.

Speeches, addresses, etc., Latin --- Mimesis in literature. --- Oratory, Ancient. --- History and criticism. --- Cicero, Marcus Tullius. --- Rome --- In literature. --- Representation (Literature) --- Imitation in literature --- Realism in literature --- Mimesis in literature --- Oratory, Ancient --- History and criticism --- Speeches, addresses, etc., Latin - History and criticism. --- ambiance. --- ancient literature. --- ancient perspectives. --- cicero. --- ciceronian oratory. --- ciceronian persuasion. --- ciceronian studies. --- classical literature. --- classical studies. --- ethnic. --- ethos and locus. --- in catilinam. --- literary theory. --- meaning of things. --- milieu. --- monuments. --- oral communication. --- oratory. --- performance art. --- persuade. --- persuasion. --- physical world. --- places. --- political structures. --- public presentation. --- raw material. --- representation theory. --- rhetoric. --- signa. --- social structures. --- topographical structures. --- topography.