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Lectures in Algebraic Combinatorics : Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields / by Adriano M. Garsia, Ömer Eğecioğlu
(Lecture Notes in Mathematics. ISSN:16179692 ; 2277)
版 | 1st ed. 2020. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2020 |
本文言語 | 英語 |
大きさ | XIV, 232 p. 36 illus : online resource |
著者標目 | *Garsia, Adriano M author Eğecioğlu, Ömer author SpringerLink (Online service) |
件 名 | LCSH:Algebraic fields LCSH:Polynomials LCSH:Group theory LCSH:Commutative algebra LCSH:Commutative rings FREE:Field Theory and Polynomials FREE:Group Theory and Generalizations FREE:Commutative Rings and Algebras |
一般注記 | Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades. The topics presented share a common theme of describing interesting interplays between algebraic topics such as representation theory and elegant structures which are sometimes thought of as being outside the purview of classical combinatorics. The lectures reflect Garsia’s inimitable narrative style and his exceptional expository ability. The preface presents the historical viewpoint as well as Garsia's personal insights into the subject matter. The lectures then start with a clear treatment of Alfred Young's construction of the irreducible representations of the symmetric group, seminormal representations and Morphy elements. This is followed by an elegant application of SL(2) representations to algebraic combinatorics. The last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the theory of finite fields. The book is aimed at graduate students and researchers in the field HTTP:URL=https://doi.org/10.1007/978-3-030-58373-6 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030583736 |
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電子リソース |
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EB00223736 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA247-247.45 LCC:QA161.P59 DC23:512.3 |
書誌ID | 4000135682 |
ISBN | 9783030583736 |
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※2017年9月4日以降