Get Representation Theory: A Combinatorial Viewpoint (Cambridge PDF

By Amritanshu Prasad

ISBN-10: 1107082056

ISBN-13: 9781107082052

This ebook discusses the illustration thought of symmetric teams, the idea of symmetric features and the polynomial illustration idea of normal linear teams. the 1st bankruptcy presents a close account of invaluable representation-theoretic history. a major spotlight of this e-book is an leading edge remedy of the Robinson–Schensted–Knuth correspondence and its twin by means of extending Viennot's geometric rules. one other targeted function is an exposition of the connection among those correspondences, the illustration conception of symmetric teams and alternating teams and the idea of symmetric services. Schur algebras are brought very certainly as algebras of distributions on common linear teams. The remedy of Schur–Weyl duality finds the directness and ease of Schur's unique remedy of the topic. additionally, every one workout is assigned a problem point to check readers' studying. recommendations and tricks to lots of the workouts are supplied on the end.

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