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portada Symmetric Functions: A Beginner's Course
Type
Physical Book
Author
Publisher
Language
English
Pages
156
Format
Hardcover
ISBN13
9783031503405
Categories

Symmetric Functions: A Beginner's Course

Evgeny Smirnov (Author) · Anna Tutubalina (Author) · Springer · Hardcover

Symmetric Functions: A Beginner's Course - Smirnov, Evgeny ; Tutubalina, Anna

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Synopsis "Symmetric Functions: A Beginner's Course"

This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and other areas of mathematics. Along with classical material, such as Schur polynomials and Young diagrams, less standard subjects are also covered, including Schubert polynomials and Danilov-Koshevoy arrays. Requiring only standard prerequisites in algebra and discrete mathematics, the book will be accessible to undergraduate students and can serve as a basis for a semester-long course. It contains more than a hundred exercises of various difficulty, with hints and solutions. Primarily aimed at undergraduate and graduate students, it will also be of interest to anyone who wishes to learn more about modern algebraic combinatorics and its usage in other areas of mathematics.

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