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Les représentations sociales sont à la base de notre vie psychique. C'est à elles que nous faisons le plus facilement et le plus spontanément appel pour nous repérer dans notre environnement physique et humain. Situées à l'interface du psychologique et du sociologique, elles sont enracinées au coeur du dispositif social. Quelles représentations de l'autre et des relations sociales englobent-elles ? En quoi constituent-elles des éléments fondamentaux de notre épistémologie, et notamment de l'élaboration du sens commun ?
Mental representation --- Social representations --- Representation (Psychoanalysis)
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This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogues of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product and infinitesimal theory. Later sections of the book discuss tilting modules; the Ringel dual of the q-Schur algebra; Specht modules for Hecke algebras; and the global dimension of the q-Schur algebras. An appendix gives a self-contained account of the theory of quasi-hereditary algebras and their associated tilting modules. This volume will be primarily of interest to researchers in algebra and related topics in pure mathematics.
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Ordered algebraic structures --- Kac-Moody algebras. --- Kac-Moody, Algèbres de. --- Representations of algebras. --- Représentations d'algèbres. --- Kac-Moody algebras --- Representations of algebras --- Algebra --- Algebras, Kac-Moody --- Lie algebras
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The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are written by a team of distinguished authors: M. Broué, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important, though technical, subject.
Representations of groups. --- Linear algebraic groups. --- Lie algebras.
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landscapes [representations] --- congres / 1995 --- Bles, met de, Herri
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Art --- nudes [representations] --- hofcultuur --- Prado Museum [Madrid] --- Spain
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Rings (Algebra) --- Representations of algebras --- Representations of rings (Algebra) --- Anneaux (Algèbre) --- Représentations d'algèbres --- Représentations d'anneaux (Algèbre) --- Representations of algebras. --- Algebraic rings --- Ring theory --- Algebraic fields --- Algebra --- Représentations des algèbres --- Information Technology --- Mathematical Sciences --- Artificial Intelligence --- Neural Networks --- Robotics --- Applied Mathematics --- General and Others
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Topological groups. Lie groups --- Lie groups. --- Lie, Groupes de. --- Representations of groups. --- Représentations de groupes. --- Lie groups --- Representations of groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups
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