| 書目名稱 | Standard Monomial Theory | | 副標(biāo)題 | Invariant Theoretic | | 編輯 | Venkatramani Lakshmibai,Komaranapuram N. Raghavan | | 視頻video | http://file.papertrans.cn/876/875740/875740.mp4 | | 概述 | Excellent overview of the theory of Schubert varieties.Includes supplementary material: | | 叢書名稱 | Encyclopaedia of Mathematical Sciences | | 圖書封面 |  | | 描述 | .Schubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inductive tool for studying flag varieties. The literature on them is vast, for they are ubiquitous - they have been intensively studied over the last fifty years, from many different points of view...This book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory and standard monomial theory for Schubert varieties in certain special flag varieties. Historically, this connection was the prime motivation for the development of standard monomial theory. Determinantal varieties and basic concepts of geometric invariant theory arise naturally in establishing the connection.. | | 出版日期 | Book 2008 | | 關(guān)鍵詞 | Classical invariant theory; Combinatorics; Determinantal varieties; Grassmannians; Representation theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-76757-2 | | isbn_softcover | 978-3-642-09543-6 | | isbn_ebook | 978-3-540-76757-2Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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