Format:
1 Online-Ressource(XIII, 156 p.)
Edition:
1st ed. 2024.
ISBN:
9783031503412
Series Statement:
Moscow Lectures 10
Content:
Schur Polynomials and Young Diagrams -- Arrays and the Littlewood-Richardson Rule -- Schubert Polynomials and Pipe-Dreams.
Content:
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.
Additional Edition:
ISBN 9783031503405
Additional Edition:
ISBN 9783031503429
Additional Edition:
ISBN 9783031503436
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031503405
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031503429
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031503436
Language:
English
DOI:
10.1007/978-3-031-50341-2
