| 书目名称 | Introduction to the Theory of Standard Monomials |
| 副标题 | Second Edition |
| 编辑 | C. S. Seshadri |
| 视频video | |
| 概述 | Discusses about the full linear group and standard monomial theory and its applications.Reproduces the lectures the author delivered and appeared in the Brandeis Lectures Notes.Is authored by the winn |
| 丛书名称 | Texts and Readings in Mathematics |
| 图书封面 |  |
| 描述 | .The book is a reproduction of a course of lectures delivered by the author in 1983-84 which appeared in the Brandeis Lecture Notes series. The aim of this course was to give an introduction to the series of papers by concentrating on the case of the full linear group. In recent years, there has been great progress in standard monomial theory due to the work of Peter Littelmann. The author’s lectures (reproduced in this book) remain an excellent introduction to standard monomial theory.. . .Standard monomial theory deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in geometric terms, nice bases of coordinate rings of flag varieties (and their Schubert subvarieties) associated with these groups. Besides its intrinsic interest, standard monomial theory has applications to the study of the geometry of Schubert varieties. Standard monomial theory has its origin in the work of Hodge, giving basesof the coordinate rings of the Grassmannian and its Schubert subvarieties by “standard monomials”. In its modern form, standard monomial theory was developed by the author in a series of papers written in collaboration |
| 出版日期 | Textbook 2016 |
| 关键词 | Grassmannian; Plucker coordinates; Schubert varieties; Standard monomials; Vanishing theorem; Deodhar’s L |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-1813-8 |
| isbn_ebook | 978-981-10-1813-8Series ISSN 2366-8717 Series E-ISSN 2366-8725 |
| issn_series | 2366-8717 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 19:12:32
