| 书目名称 | k-Schur Functions and Affine Schubert Calculus |
| 编辑 | Thomas Lam,Luc Lapointe,Mike Zabrocki |
| 视频video | http://file.papertrans.cn/547/546121/546121.mp4 |
| 概述 | Summarizes the current state in an active area of research and outlines the open research questions which motivate the subject.Demonstrates calculations using the software package Sage so that readers |
| 丛书名称 | Fields Institute Monographs |
| 图书封面 |  |
| 描述 | .This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry..This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers,who want to become familiar with this fascinating new field.. |
| 出版日期 | Book 2014 |
| 关键词 | Macdonald polynomial positivity; Schubert bases; Stanley symmetric functions; affine Schubert calculus; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4939-0682-6 |
| isbn_softcover | 978-1-4939-4972-4 |
| isbn_ebook | 978-1-4939-0682-6Series ISSN 1069-5273 Series E-ISSN 2194-3079 |
| issn_series | 1069-5273 |
| copyright | Springer Science+Business Media New York 2014 |
|Archiver|手机版|小黑屋|
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