Get Representation Theory: A Combinatorial Viewpoint (Cambridge PDF

By Amritanshu Prasad

ISBN-10: 1107082056

ISBN-13: 9781107082052

This booklet discusses the illustration conception of symmetric teams, the idea of symmetric features and the polynomial illustration conception of common linear teams. the 1st bankruptcy offers an in depth account of important representation-theoretic history. an immense spotlight of this booklet is an leading edge remedy of the Robinson–Schensted–Knuth correspondence and its twin by means of extending Viennot's geometric principles. one other specified characteristic is an exposition of the connection among those correspondences, the illustration thought of symmetric teams and alternating teams and the speculation of symmetric features. Schur algebras are brought very certainly as algebras of distributions on normal linear teams. The therapy of Schur–Weyl duality unearths the directness and ease of Schur's unique therapy of the topic. moreover, every one workout is assigned a problem point to check readers' studying. suggestions and tricks to lots 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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