02682nam 22005175 450 991086529470332120240923114026.09783031503412(electronic bk.)978303150340510.1007/978-3-031-50341-2(MiAaPQ)EBC31460416(Au-PeEL)EBL31460416(CKB)32258877300041(DE-He213)978-3-031-50341-2(EXLCZ)993225887730004120240607d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSymmetric Functions: A Beginner's Course /by Evgeny Smirnov, Anna Tutubalina1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (159 pages)Moscow Lectures,2522-0322 ;10Print version: Smirnov, Evgeny Symmetric Functions: a Beginner's Course Cham : Springer,c2024 9783031503405 Schur Polynomials and Young Diagrams -- Arrays and the Littlewood-Richardson Rule -- Schubert Polynomials and Pipe-Dreams.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.Moscow Lectures,2522-0322 ;10MathematicsMathematicsFuncions simètriquesthubLlibres electrònicsthubMathematics.Mathematics.Funcions simètriques515.22Smirnov Evgeny769149Tutubalina Anna1742242MiAaPQMiAaPQMiAaPQ9910865294703321Symmetric Functions: A Beginner's Course4258035UNINA