Representation Theory: A Combinatorial Viewpoint (Cambridge by Amritanshu Prasad PDF

By Amritanshu Prasad

ISBN-10: 1107082056

ISBN-13: 9781107082052

This publication discusses the illustration conception of symmetric teams, the idea of symmetric services and the polynomial illustration idea of common linear teams. the 1st bankruptcy presents a close account of helpful representation-theoretic history. an enormous spotlight of this e-book is an leading edge remedy of the Robinson–Schensted–Knuth correspondence and its twin by way of extending Viennot's geometric principles. one other exact characteristic is an exposition of the connection among those correspondences, the illustration idea of symmetric teams and alternating teams and the idea of symmetric capabilities. Schur algebras are brought very evidently as algebras of distributions on normal linear teams. The remedy of Schur–Weyl duality unearths the directness and straightforwardness of Schur's unique remedy of the topic. furthermore, every one workout is assigned a problem point to check readers' studying. strategies and tricks to many of the workouts are supplied on the end.

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Representation Theory: A Combinatorial Viewpoint (Cambridge Studies in Advanced Mathematics) by Amritanshu Prasad


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