Braid groups

著者

• Kassel, Christian
• Turaev, V. G. (Vladimir G.)
• Dodane, Olivier

書誌事項

Braid groups

Christian Kassel, Vladimir Turaev ; with the graphical assistance of Olivier Dodane

（Graduate texts in mathematics, 247）

Springer, c2008

注記

Includes bibliographical references (p. [327]-336) and index

内容説明・目次

内容説明

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

目次

• Braids and Braid Groups.- Braids, Knots, and Links.- Homological Representations of the Braid Groups.- Symmetric Groups and Iwahori#x2013
• Hecke Algebras.- Representations of the Iwahori#x2013
• Hecke Algebras.- Garside Monoids and Braid Monoids.- An Order on the Braid Groups.- Presentations of SL(Z) and PSL(Z).- Fibrations and Homotopy Sequences.- The Birman#x2013
• Murakami#x2013
• Wenzl Algebras.- Left Self-Distributive Sets.

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詳細情報

• NII書誌ID(NCID): BA86939434
• ISBN:
  • 9780387338415
• LCCN: 2008922934
• 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, NY
• ページ数/冊数: xi, 340 p.
• 大きさ: 25 cm
• 分類:
  • SG : 510
  • LCC : QA612.23
  • DC22 : 514/.224
• 件名:
  • LCSH : Braid theory
• 親書誌ID:
  • BA00010074