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Representation Theory: A Combinatorial Viewpoint: 147 (Cambridge Studies in Advanced Mathematics, Series Number 147)

SKU: 9781107082052

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A modern combinatorial approach to representation theory that explores the connections between algebraic structures and combinatorial objects. This advanced text provides both classical results and contemporary perspectives on this fundamental area of mathematics.

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Description

Representation Theory: A Combinatorial Viewpoint offers a fresh and accessible introduction to representation theory through the lens of combinatorics. Rather than following traditional algebraic approaches, this text emphasizes the combinatorial structures underlying representation-theoretic concepts, making the subject more intuitive and engaging for advanced mathematics students.

The book covers fundamental topics including group representations, character theory, and symmetric groups, while consistently highlighting their combinatorial aspects. By exploring connections between representations and combinatorial objects such as Young tableaux and partitions, the author provides readers with powerful computational tools and geometric intuition.

Ideal for graduate students and researchers in mathematics, this volume bridges pure algebra and discrete mathematics. The combinatorial viewpoint not only simplifies many classical proofs but also opens new avenues for research and applications in representation theory.

Additional information

Author

Amritanshu Prasad

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781107082052

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