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Titlebook: Symmetric Functions: A Beginner‘s Course; Evgeny Smirnov,Anna Tutubalina Textbook 2024 The Editor(s) (if applicable) and The Author(s), un

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发表于 2025-3-21 18:58:40 | 显示全部楼层 |阅读模式
书目名称Symmetric Functions: A Beginner‘s Course
编辑Evgeny Smirnov,Anna Tutubalina
视频video
概述Very elementary introduction to the topic.Book was developed from a lecture course at the top-level Faculty of Mathematics, Higher School of Economics.Very student-friendly
丛书名称Moscow Lectures
图书封面Titlebook: Symmetric Functions: A Beginner‘s Course;  Evgeny Smirnov,Anna Tutubalina Textbook 2024 The Editor(s) (if applicable) and The Author(s), un
描述.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..
出版日期Textbook 2024
关键词symmetric functions; Young diagrams; combinatorics; Schur polynomials; Schubert polynomials
版次1
doihttps://doi.org/10.1007/978-3-031-50341-2
isbn_softcover978-3-031-50343-6
isbn_ebook978-3-031-50341-2Series ISSN 2522-0314 Series E-ISSN 2522-0322
issn_series 2522-0314
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:06:08 | 显示全部楼层
Combinatorial Presentation of Schubert Polynomialst polynomials are actual polynomials, not rational functions. More surprisingly, even though these are divided . operators, the coefficients of Schubert polynomials turn out to be ., as we saw in Corollary 12.17.
发表于 2025-3-22 01:45:55 | 显示全部楼层
Textbook 2024mbinatorics 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 array
发表于 2025-3-22 08:34:39 | 显示全部楼层
发表于 2025-3-22 10:24:52 | 显示全部楼层
2522-0314 Economics.Very student-friendly.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 mathem
发表于 2025-3-22 12:57:52 | 显示全部楼层
2522-0314 utions. 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..978-3-031-50343-6978-3-031-50341-2Series ISSN 2522-0314 Series E-ISSN 2522-0322
发表于 2025-3-22 19:02:02 | 显示全部楼层
发表于 2025-3-22 22:20:01 | 显示全部楼层
Evgeny Smirnov,Anna Tutubalinaerial on the topic, which also includes the software ‘sigmaGuide’, a template for project documentation and several hours of video content featuring course materials on edX Learning Community..978-3-030-31917-5978-3-030-31915-1Series ISSN 2192-8096 Series E-ISSN 2192-810X
发表于 2025-3-23 03:17:11 | 显示全部楼层
Evgeny Smirnov,Anna Tutubalinaachweislich optimierte Ergebnisse zu erzielen. Es ist aber nicht immer ganz selbstverständlich, dass Six Sigma Projekte Verbesserungen induzieren. Vielen Interdependenzen innerhalb der Unternehmen müssen berücksichtigt werden, um nicht gerade an diesen Beziehungen zu scheitern. Dazu zählen u.a. die
发表于 2025-3-23 07:58:18 | 显示全部楼层
Evgeny Smirnov,Anna Tutubalinaachweislich optimierte Ergebnisse zu erzielen. Es ist aber nicht immer ganz selbstverständlich, dass Six Sigma Projekte Verbesserungen induzieren. Vielen Interdependenzen innerhalb der Unternehmen müssen berücksichtigt werden, um nicht gerade an diesen Beziehungen zu scheitern. Dazu zählen u.a. die
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