An introduction to quasisymmetric Schur functions : Hopf algebras, quasisymmetric functions, and Young composition tableaux

著者

    • Luoto, Kurt
    • Mykytiuk, Stefan
    • Willigenburg, Stephanie van

書誌事項

An introduction to quasisymmetric Schur functions : Hopf algebras, quasisymmetric functions, and Young composition tableaux

Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg

(SpringerBriefs in mathematics)

Springer, c2013

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions.

目次

1. Introduction.- 2. Classical combinatorial concepts.- 3. Hopf algebras.- 4. Compsition tableaux and further combinatorial concepts.- 5. Quasisymmetric Schur functions.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BB13053102
  • ISBN
    • 9781461472995
  • LCCN
    2013936258
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xiv, 89 p.
  • 大きさ
    24 cm
  • 親書誌ID
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