| 書(shū)目名稱 | Flag Varieties | | 副標(biāo)題 | An Interplay of Geom | | 編輯 | V. Lakshmibai,Justin Brown | | 視頻video | http://file.papertrans.cn/345/344068/344068.mp4 | | 概述 | Elucidates its richness of flag varieties and their importance in geometric objects.Discusses the representation theory of complex semisimple Lie algebras, semisimple algebraic groups and symmetric gr | | 叢書(shū)名稱 | Texts and Readings in Mathematics | | 圖書(shū)封面 |  | | 描述 | .This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory. The book presents a discussion on the representation theory of complex semisimple Lie algebras, as well as the representation theory of semisimple algebraic groups. In addition, the book also discusses the representation theory of symmetric groups.?In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties.?Many of the geometric results admit elegant combinatorial description because of the root system connections, a typical example being the description of the singular locus of a Schubert variety.?This discussion is carried out as a consequence of standard monomial theory.?Consequently, this book includes standard monomial theory and some important applications—singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. The two recent results on Schubert varieties in the Grassmannian have also been included in this book. The fir | | 出版日期 | Book 2018Latest edition | | 關(guān)鍵詞 | Semisimple Rings; Finite Groups; Symmetric Group; Symmetric Polynomials; Schur-Weyl Duality; Semisimple L | | 版次 | 2 | | doi | https://doi.org/10.1007/978-981-13-1393-6 | | isbn_ebook | 978-981-13-1393-6Series ISSN 2366-8717 Series E-ISSN 2366-8725 | | issn_series | 2366-8717 | | copyright | Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018 2018 |
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